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m3_outcomes.bpr
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m3_outcomes.bpr
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<org.eventb.core.prIdent name="credits_awarded" org.eventb.core.type="ℙ(MODULE×ℤ)"/>
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<org.eventb.core.prIdent name="module_outcomes" org.eventb.core.type="ℙ(MODULE×M_OUTCOME)"/>
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<org.eventb.core.prIdent name="outcome_mapping" org.eventb.core.type="ℙ(MODULE×M_OUTCOME×(PROGRAMME×P_OUTCOME))"/>
<org.eventb.core.prIdent name="programme_leader" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
<org.eventb.core.prIdent name="programme_outcomes" org.eventb.core.type="ℙ(PROGRAMME×P_OUTCOME)"/>
<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="published" org.eventb.core.type="ℙ(PROGRAMME)"/>
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<org.eventb.core.prPred name="p0" org.eventb.core.predicate="module_outcomes∈modules∪{m} ↔ M_OUTCOME"/>
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<org.eventb.core.prIdent name="m" org.eventb.core.type="MODULE"/>
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<org.eventb.core.prIdent name="published" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="registered" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="sum" org.eventb.core.type="ℙ(ℙ(MODULE×ℤ)×ℤ)"/>
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<org.eventb.core.prPred name="p3" org.eventb.core.predicate="sum∈ℙ(MODULE × ℤ) ⇸ ℤ"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="published⊆programmes"/>
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<org.eventb.core.prPred name="p24" org.eventb.core.predicate="sum∈(MODULE ↔ credits) → ℕ"/>
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<org.eventb.core.prIdent name="p" org.eventb.core.type="PROGRAMME"/>
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<org.eventb.core.prPred name="p19" org.eventb.core.predicate="p∉published"/>
<org.eventb.core.prPred name="p20" org.eventb.core.predicate="programme_leader(p)=u"/>
<org.eventb.core.prPred name="p21" org.eventb.core.predicate="credits={15,30,45,60}"/>
<org.eventb.core.prPred name="p22" org.eventb.core.predicate="sum(∅ ⦂ ℙ(MODULE×ℤ))=0"/>
<org.eventb.core.prPred name="p23" org.eventb.core.predicate="administrators∈programmes ↔ registered"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="programme_leader∈PROGRAMME ⇸ USER"/>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="(∅ ⦂ ℙ(MODULE×ℤ))∈dom(sum)"/>
<org.eventb.core.prPred name="p29" org.eventb.core.predicate="programme_leader(p)∈logged_in"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="sum∈ℙ(MODULE × ℤ) ⇸ ℤ"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="published⊆programmes"/>
<org.eventb.core.prPred name="p27" org.eventb.core.predicate="programmes⊆PROGRAMME"/>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="credits_awarded∈modules → credits"/>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="programme_leader∈programmes → registered"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="logged_in⊆registered"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="{p} ⩤ programme_outcomes∈programmes ∖ {p} ↔ P_OUTCOME"/>
<org.eventb.core.prPred name="p13" org.eventb.core.predicate="u∈logged_in"/>
<org.eventb.core.prPred name="p14" org.eventb.core.predicate="∀f⦂ℙ(MODULE×ℤ),m⦂MODULE·f∈MODULE ⇸ credits∧m∈dom(f)⇒sum(f)=sum({m} ⩤ f)+f(m)"/>
<org.eventb.core.prPred name="p15" org.eventb.core.predicate="outcome_mapping∈module_outcomes ↔ programme_outcomes"/>
<org.eventb.core.prPred name="p17" org.eventb.core.predicate="module_leader∈modules → registered"/>
<org.eventb.core.prPred name="p18" org.eventb.core.predicate="p∈programmes"/>
<org.eventb.core.prPred name="p24" org.eventb.core.predicate="sum∈(MODULE ↔ credits) → ℕ"/>
<org.eventb.core.prPred name="p28" org.eventb.core.predicate="modules⊆MODULE"/>
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<org.eventb.core.prReas name="r3" org.eventb.core.prRID="com.clearsy.atelierb.provers.core.externalML:1"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="org.eventb.core.seqprover.typeRewrites:1"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="delete_programme/inv33/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2,p3,p4,p5" org.eventb.core.prSets="MODULE,M_OUTCOME,PROGRAMME,P_OUTCOME,USER">
<org.eventb.core.lang name="L"/>
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<org.eventb.core.prRule name="r1" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="type rewrites" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
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<org.eventb.core.prHypAction name="DESELECT1" org.eventb.core.prHyps="p1"/>
<org.eventb.core.prRule name="r3" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="PP" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p2,p3,p5,p6,p10">
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</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
<org.eventb.core.prIdent name="logged_in" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="module_outcomes" org.eventb.core.type="ℙ(MODULE×M_OUTCOME)"/>
<org.eventb.core.prIdent name="outcome_mapping" org.eventb.core.type="ℙ(MODULE×M_OUTCOME×(PROGRAMME×P_OUTCOME))"/>
<org.eventb.core.prIdent name="p" org.eventb.core.type="PROGRAMME"/>
<org.eventb.core.prIdent name="programme_leader" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
<org.eventb.core.prIdent name="programme_outcomes" org.eventb.core.type="ℙ(PROGRAMME×P_OUTCOME)"/>
<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="published" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="u" org.eventb.core.type="USER"/>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="registered⊆USER">
<org.eventb.core.prIdent name="registered" org.eventb.core.type="ℙ(USER)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="u∈logged_in"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="programme_leader(p)∈logged_in"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="outcome_mapping ⩥ ({p} ◁ ran(outcome_mapping))∈module_outcomes ↔ {p} ⩤ programme_outcomes"/>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="outcome_mapping∈module_outcomes ↔ programme_outcomes"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="p∈programmes"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="p∉published"/>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="programme_leader(p)=u"/>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="programmes⊆PROGRAMME"/>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="¬p∈published"/>
<org.eventb.core.prPred name="p9" org.eventb.core.predicate="modules⊆MODULE">
<org.eventb.core.prIdent name="modules" org.eventb.core.type="ℙ(MODULE)"/>
</org.eventb.core.prPred>
<org.eventb.core.prReas name="r3" org.eventb.core.prRID="com.clearsy.atelierb.provers.core.externalPP:1"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.autoRewritesL4:0"/>
<org.eventb.core.prReas name="r2" org.eventb.core.prRID="org.eventb.core.seqprover.he:1"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="org.eventb.core.seqprover.typeRewrites:1"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="assign_programme_outcome/inv31/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15,p16,p17,p18,p19,p20,p21,p22,p23" org.eventb.core.prSets="MODULE,M_OUTCOME,PROGRAMME,P_OUTCOME,USER">
<org.eventb.core.lang name="L"/>
<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="simplification rewrites" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p8" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p24"/>
<org.eventb.core.prHypAction name="REWRITE1" org.eventb.core.prHidden="p19" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p25"/>
<org.eventb.core.prRule name="r1" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="type rewrites" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p26"/>
<org.eventb.core.prHypAction name="HIDE1" org.eventb.core.prHyps="p27"/>
<org.eventb.core.prHypAction name="HIDE2" org.eventb.core.prHyps="p28"/>
<org.eventb.core.prHypAction name="HIDE3" org.eventb.core.prHyps="p29"/>
<org.eventb.core.prRule name="r2" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="ML" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p20,p23,p21,p1,p2,p13,p9,p6,p22,p3,p4,p16,p5,p10,p7,p15,p14,p11,p12,p17,p18,p24,p25">
<org.eventb.core.prString name=".arg" org.eventb.core.prSValue="0;1:500"/>
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</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
<org.eventb.core.prIdent name="administrators" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
<org.eventb.core.prIdent name="contains_module" org.eventb.core.type="ℙ(PROGRAMME×MODULE)"/>
<org.eventb.core.prIdent name="credits" org.eventb.core.type="ℙ(ℤ)"/>
<org.eventb.core.prIdent name="credits_awarded" org.eventb.core.type="ℙ(MODULE×ℤ)"/>
<org.eventb.core.prIdent name="logged_in" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="module_leader" org.eventb.core.type="ℙ(MODULE×USER)"/>
<org.eventb.core.prIdent name="module_outcomes" org.eventb.core.type="ℙ(MODULE×M_OUTCOME)"/>
<org.eventb.core.prIdent name="modules" org.eventb.core.type="ℙ(MODULE)"/>
<org.eventb.core.prIdent name="o" org.eventb.core.type="P_OUTCOME"/>
<org.eventb.core.prIdent name="outcome_mapping" org.eventb.core.type="ℙ(MODULE×M_OUTCOME×(PROGRAMME×P_OUTCOME))"/>
<org.eventb.core.prIdent name="p" org.eventb.core.type="PROGRAMME"/>
<org.eventb.core.prIdent name="programme_leader" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
<org.eventb.core.prIdent name="programme_outcomes" org.eventb.core.type="ℙ(PROGRAMME×P_OUTCOME)"/>
<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="published" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="registered" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="sum" org.eventb.core.type="ℙ(ℙ(MODULE×ℤ)×ℤ)"/>
<org.eventb.core.prIdent name="u" org.eventb.core.type="USER"/>
<org.eventb.core.prPred name="p26" org.eventb.core.predicate="registered⊆USER"/>
<org.eventb.core.prPred name="p29" org.eventb.core.predicate="o∈P_OUTCOME"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="contains_module∈programmes ↔ modules"/>
<org.eventb.core.prPred name="p25" org.eventb.core.predicate="¬p∈published"/>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="programme_outcomes∈programmes ↔ P_OUTCOME"/>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="o∉programme_outcomes[{p}]"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="credits_awarded∈MODULE ⇸ credits"/>
<org.eventb.core.prPred name="p11" org.eventb.core.predicate="∀m⦂MODULE·m∈dom(dom(outcome_mapping))⇒dom(ran(({m} ◁ dom(outcome_mapping)) ◁ outcome_mapping))⊆contains_module∼[{m}]"/>
<org.eventb.core.prPred name="p15" org.eventb.core.predicate="module_outcomes∈modules ↔ M_OUTCOME"/>
<org.eventb.core.prPred name="p19" org.eventb.core.predicate="p∉published"/>
<org.eventb.core.prPred name="p20" org.eventb.core.predicate="credits={15,30,45,60}"/>
<org.eventb.core.prPred name="p21" org.eventb.core.predicate="sum(∅ ⦂ ℙ(MODULE×ℤ))=0"/>
<org.eventb.core.prPred name="p22" org.eventb.core.predicate="administrators∈programmes ↔ registered"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="(∅ ⦂ ℙ(MODULE×ℤ))∈dom(sum)"/>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="sum∈ℙ(MODULE × ℤ) ⇸ ℤ"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="published⊆programmes"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="programme_outcomes∪{p ↦ o}∈programmes ↔ P_OUTCOME"/>
<org.eventb.core.prPred name="p27" org.eventb.core.predicate="programmes⊆PROGRAMME"/>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="credits_awarded∈modules → credits"/>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="programme_leader∈programmes → registered"/>
<org.eventb.core.prPred name="p9" org.eventb.core.predicate="logged_in⊆registered"/>
<org.eventb.core.prPred name="p12" org.eventb.core.predicate="u∈logged_in"/>
<org.eventb.core.prPred name="p24" org.eventb.core.predicate="¬o∈programme_outcomes[{p}]"/>
<org.eventb.core.prPred name="p13" org.eventb.core.predicate="∀f⦂ℙ(MODULE×ℤ),m⦂MODULE·f∈MODULE ⇸ credits∧m∈dom(f)⇒sum(f)=sum({m} ⩤ f)+f(m)"/>
<org.eventb.core.prPred name="p14" org.eventb.core.predicate="outcome_mapping∈module_outcomes ↔ programme_outcomes"/>
<org.eventb.core.prPred name="p16" org.eventb.core.predicate="module_leader∈modules → registered"/>
<org.eventb.core.prPred name="p17" org.eventb.core.predicate="p∈programmes"/>
<org.eventb.core.prPred name="p18" org.eventb.core.predicate="u∈administrators[{p}]"/>
<org.eventb.core.prPred name="p23" org.eventb.core.predicate="sum∈(MODULE ↔ credits) → ℕ"/>
<org.eventb.core.prPred name="p28" org.eventb.core.predicate="modules⊆MODULE"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.autoRewritesL4:0"/>
<org.eventb.core.prReas name="r2" org.eventb.core.prRID="com.clearsy.atelierb.provers.core.externalML:1"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="org.eventb.core.seqprover.typeRewrites:1"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="unassign_programme_outcome/inv31/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15,p16,p17,p18,p19,p20,p21,p22,p23" org.eventb.core.prSets="MODULE,M_OUTCOME,PROGRAMME,P_OUTCOME,USER">
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<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="simplification rewrites" org.eventb.core.prHyps="">
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<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p25"/>
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<org.eventb.core.prHypAction name="HIDE3" org.eventb.core.prHyps="p28"/>
<org.eventb.core.prRule name="r2" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="ML" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p20,p23,p21,p1,p2,p13,p9,p6,p22,p3,p4,p16,p5,p10,p7,p15,p14,p11,p12,p17,p18,p8,p24">
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</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
<org.eventb.core.prIdent name="administrators" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
<org.eventb.core.prIdent name="contains_module" org.eventb.core.type="ℙ(PROGRAMME×MODULE)"/>
<org.eventb.core.prIdent name="credits" org.eventb.core.type="ℙ(ℤ)"/>
<org.eventb.core.prIdent name="credits_awarded" org.eventb.core.type="ℙ(MODULE×ℤ)"/>
<org.eventb.core.prIdent name="logged_in" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="module_leader" org.eventb.core.type="ℙ(MODULE×USER)"/>
<org.eventb.core.prIdent name="module_outcomes" org.eventb.core.type="ℙ(MODULE×M_OUTCOME)"/>
<org.eventb.core.prIdent name="modules" org.eventb.core.type="ℙ(MODULE)"/>
<org.eventb.core.prIdent name="o" org.eventb.core.type="P_OUTCOME"/>
<org.eventb.core.prIdent name="outcome_mapping" org.eventb.core.type="ℙ(MODULE×M_OUTCOME×(PROGRAMME×P_OUTCOME))"/>
<org.eventb.core.prIdent name="p" org.eventb.core.type="PROGRAMME"/>
<org.eventb.core.prIdent name="programme_leader" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
<org.eventb.core.prIdent name="programme_outcomes" org.eventb.core.type="ℙ(PROGRAMME×P_OUTCOME)"/>
<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="published" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="registered" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="sum" org.eventb.core.type="ℙ(ℙ(MODULE×ℤ)×ℤ)"/>
<org.eventb.core.prIdent name="u" org.eventb.core.type="USER"/>
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<org.eventb.core.prPred name="p0" org.eventb.core.predicate="programme_outcomes ∖ {p ↦ o}∈programmes ↔ P_OUTCOME"/>
<org.eventb.core.prPred name="p28" org.eventb.core.predicate="o∈P_OUTCOME"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="contains_module∈programmes ↔ modules"/>
<org.eventb.core.prPred name="p24" org.eventb.core.predicate="¬p∈published"/>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="programme_outcomes∈programmes ↔ P_OUTCOME"/>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="o∈programme_outcomes[{p}]"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="credits_awarded∈MODULE ⇸ credits"/>
<org.eventb.core.prPred name="p11" org.eventb.core.predicate="∀m⦂MODULE·m∈dom(dom(outcome_mapping))⇒dom(ran(({m} ◁ dom(outcome_mapping)) ◁ outcome_mapping))⊆contains_module∼[{m}]"/>
<org.eventb.core.prPred name="p15" org.eventb.core.predicate="module_outcomes∈modules ↔ M_OUTCOME"/>
<org.eventb.core.prPred name="p19" org.eventb.core.predicate="p∉published"/>
<org.eventb.core.prPred name="p20" org.eventb.core.predicate="credits={15,30,45,60}"/>
<org.eventb.core.prPred name="p21" org.eventb.core.predicate="sum(∅ ⦂ ℙ(MODULE×ℤ))=0"/>
<org.eventb.core.prPred name="p22" org.eventb.core.predicate="administrators∈programmes ↔ registered"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="(∅ ⦂ ℙ(MODULE×ℤ))∈dom(sum)"/>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="sum∈ℙ(MODULE × ℤ) ⇸ ℤ"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="published⊆programmes"/>
<org.eventb.core.prPred name="p26" org.eventb.core.predicate="programmes⊆PROGRAMME"/>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="credits_awarded∈modules → credits"/>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="programme_leader∈programmes → registered"/>
<org.eventb.core.prPred name="p9" org.eventb.core.predicate="logged_in⊆registered"/>
<org.eventb.core.prPred name="p12" org.eventb.core.predicate="u∈logged_in"/>
<org.eventb.core.prPred name="p13" org.eventb.core.predicate="∀f⦂ℙ(MODULE×ℤ),m⦂MODULE·f∈MODULE ⇸ credits∧m∈dom(f)⇒sum(f)=sum({m} ⩤ f)+f(m)"/>
<org.eventb.core.prPred name="p14" org.eventb.core.predicate="outcome_mapping∈module_outcomes ↔ programme_outcomes"/>
<org.eventb.core.prPred name="p16" org.eventb.core.predicate="module_leader∈modules → registered"/>
<org.eventb.core.prPred name="p17" org.eventb.core.predicate="p∈programmes"/>
<org.eventb.core.prPred name="p18" org.eventb.core.predicate="u∈administrators[{p}]"/>
<org.eventb.core.prPred name="p23" org.eventb.core.predicate="sum∈(MODULE ↔ credits) → ℕ"/>
<org.eventb.core.prPred name="p27" org.eventb.core.predicate="modules⊆MODULE"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.autoRewritesL4:0"/>
<org.eventb.core.prReas name="r2" org.eventb.core.prRID="com.clearsy.atelierb.provers.core.externalML:1"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="org.eventb.core.seqprover.typeRewrites:1"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="assign_module_outcome/grd4/WD" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2" org.eventb.core.prSets="MODULE,USER">
<org.eventb.core.lang name="L"/>
<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="type rewrites" org.eventb.core.prHyps="">
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<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p3"/>
<org.eventb.core.prHypAction name="HIDE1" org.eventb.core.prHyps="p4"/>
<org.eventb.core.prHypAction name="HIDE2" org.eventb.core.prHyps="p5"/>
<org.eventb.core.prHypAction name="HIDE3" org.eventb.core.prHyps="p6"/>
<org.eventb.core.prRule name="r1" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="∧ goal" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="">
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<org.eventb.core.prString name=".pos" org.eventb.core.prSValue="1"/>
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</org.eventb.core.prRule>
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<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p8">
<org.eventb.core.prRule name="r4" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="functional goal" org.eventb.core.prGoal="p8" org.eventb.core.prHyps="p1"/>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
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</org.eventb.core.prRule>
<org.eventb.core.prIdent name="m" org.eventb.core.type="MODULE"/>
<org.eventb.core.prIdent name="module_leader" org.eventb.core.type="ℙ(MODULE×USER)"/>
<org.eventb.core.prIdent name="modules" org.eventb.core.type="ℙ(MODULE)"/>
<org.eventb.core.prIdent name="registered" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="registered⊆USER"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="m∈dom(module_leader)∧module_leader∈MODULE ⇸ USER"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="module_leader∈modules → registered"/>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="o∈M_OUTCOME">
<org.eventb.core.prIdent name="M_OUTCOME" org.eventb.core.type="ℙ(M_OUTCOME)"/>
<org.eventb.core.prIdent name="o" org.eventb.core.type="M_OUTCOME"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="m∈modules"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="programmes⊆PROGRAMME">
<org.eventb.core.prIdent name="PROGRAMME" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
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<org.eventb.core.prPred name="p8" org.eventb.core.predicate="module_leader∈MODULE ⇸ USER"/>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="modules⊆MODULE"/>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="m∈dom(module_leader)"/>
<org.eventb.core.prExpr name="e0" org.eventb.core.expression="modules"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="org.eventb.core.seqprover.conj:0"/>
<org.eventb.core.prReas name="r3" org.eventb.core.prRID="org.eventb.core.seqprover.hyp"/>
<org.eventb.core.prReas name="r4" org.eventb.core.prRID="org.eventb.core.seqprover.isFunGoal"/>
<org.eventb.core.prReas name="r2" org.eventb.core.prRID="org.eventb.core.seqprover.totalDom:2"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.typeRewrites:1"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="assign_module_outcome/inv32/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25" org.eventb.core.prSets="MODULE,M_OUTCOME,PROGRAMME,P_OUTCOME,USER">
<org.eventb.core.lang name="L"/>
<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="simplification rewrites" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p15" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p26"/>
<org.eventb.core.prHypAction name="REWRITE1" org.eventb.core.prHidden="p24" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p27"/>
<org.eventb.core.prRule name="r1" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="type rewrites" org.eventb.core.prHyps="">
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<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p28"/>
<org.eventb.core.prHypAction name="HIDE1" org.eventb.core.prHyps="p29"/>
<org.eventb.core.prHypAction name="HIDE2" org.eventb.core.prHyps="p30"/>
<org.eventb.core.prHypAction name="HIDE3" org.eventb.core.prHyps="p31"/>
<org.eventb.core.prRule name="r2" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="eh with u=module_leader(m)" org.eventb.core.prHyps="p13">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="FORWARD_INF0" org.eventb.core.prHyps="p20" org.eventb.core.prInfHyps="p32"/>
<org.eventb.core.prHypAction name="DESELECT1" org.eventb.core.prHyps="p20"/>
<org.eventb.core.prRule name="r3" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="ML" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p7,p25,p8,p11,p12,p21,p19,p17,p10,p14,p1,p23,p16,p4,p3,p6,p22,p5,p20,p9,p13,p18,p2,p26,p27,p32">
<org.eventb.core.prString name=".arg" org.eventb.core.prSValue="0;1:500"/>
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</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
<org.eventb.core.prIdent name="administrators" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
<org.eventb.core.prIdent name="contains_module" org.eventb.core.type="ℙ(PROGRAMME×MODULE)"/>
<org.eventb.core.prIdent name="credits" org.eventb.core.type="ℙ(ℤ)"/>
<org.eventb.core.prIdent name="credits_awarded" org.eventb.core.type="ℙ(MODULE×ℤ)"/>
<org.eventb.core.prIdent name="logged_in" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="m" org.eventb.core.type="MODULE"/>
<org.eventb.core.prIdent name="module_leader" org.eventb.core.type="ℙ(MODULE×USER)"/>
<org.eventb.core.prIdent name="module_outcomes" org.eventb.core.type="ℙ(MODULE×M_OUTCOME)"/>
<org.eventb.core.prIdent name="modules" org.eventb.core.type="ℙ(MODULE)"/>
<org.eventb.core.prIdent name="o" org.eventb.core.type="M_OUTCOME"/>
<org.eventb.core.prIdent name="outcome_mapping" org.eventb.core.type="ℙ(MODULE×M_OUTCOME×(PROGRAMME×P_OUTCOME))"/>
<org.eventb.core.prIdent name="programme_leader" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
<org.eventb.core.prIdent name="programme_outcomes" org.eventb.core.type="ℙ(PROGRAMME×P_OUTCOME)"/>
<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="published" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="registered" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="sum" org.eventb.core.type="ℙ(ℙ(MODULE×ℤ)×ℤ)"/>
<org.eventb.core.prIdent name="u" org.eventb.core.type="USER"/>
<org.eventb.core.prPred name="p28" org.eventb.core.predicate="registered⊆USER"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="contains_module∈programmes ↔ modules"/>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="module_leader∈MODULE ⇸ USER"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="programme_outcomes∈programmes ↔ P_OUTCOME"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="credits_awarded∈MODULE ⇸ credits"/>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="∀m⦂MODULE·m∈dom(dom(outcome_mapping))⇒dom(ran(({m} ◁ dom(outcome_mapping)) ◁ outcome_mapping))⊆contains_module∼[{m}]"/>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="module_outcomes∈modules ↔ M_OUTCOME"/>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="credits={15,30,45,60}"/>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="sum(∅ ⦂ ℙ(MODULE×ℤ))=0"/>
<org.eventb.core.prPred name="p9" org.eventb.core.predicate="m∈modules"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="administrators∈programmes ↔ registered"/>
<org.eventb.core.prPred name="p11" org.eventb.core.predicate="(∅ ⦂ ℙ(MODULE×ℤ))∈dom(sum)"/>
<org.eventb.core.prPred name="p12" org.eventb.core.predicate="sum∈ℙ(MODULE × ℤ) ⇸ ℤ"/>
<org.eventb.core.prPred name="p13" org.eventb.core.predicate="u=module_leader(m)"/>
<org.eventb.core.prPred name="p31" org.eventb.core.predicate="o∈M_OUTCOME"/>
<org.eventb.core.prPred name="p14" org.eventb.core.predicate="published⊆programmes"/>
<org.eventb.core.prPred name="p32" org.eventb.core.predicate="module_leader(m)∈logged_in"/>
<org.eventb.core.prPred name="p26" org.eventb.core.predicate="¬o∈module_outcomes[{m}]"/>
<org.eventb.core.prPred name="p15" org.eventb.core.predicate="o∉module_outcomes[{m}]"/>
<org.eventb.core.prPred name="p29" org.eventb.core.predicate="programmes⊆PROGRAMME"/>
<org.eventb.core.prPred name="p16" org.eventb.core.predicate="credits_awarded∈modules → credits"/>
<org.eventb.core.prPred name="p17" org.eventb.core.predicate="programme_leader∈programmes → registered"/>
<org.eventb.core.prPred name="p18" org.eventb.core.predicate="m∈dom(module_leader)"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="module_outcomes∪{m ↦ o}∈modules ↔ M_OUTCOME"/>
<org.eventb.core.prPred name="p19" org.eventb.core.predicate="logged_in⊆registered"/>
<org.eventb.core.prPred name="p20" org.eventb.core.predicate="u∈logged_in"/>
<org.eventb.core.prPred name="p21" org.eventb.core.predicate="∀f⦂ℙ(MODULE×ℤ),m⦂MODULE·f∈MODULE ⇸ credits∧m∈dom(f)⇒sum(f)=sum({m} ⩤ f)+f(m)"/>
<org.eventb.core.prPred name="p22" org.eventb.core.predicate="outcome_mapping∈module_outcomes ↔ programme_outcomes"/>
<org.eventb.core.prPred name="p23" org.eventb.core.predicate="module_leader∈modules → registered"/>
<org.eventb.core.prPred name="p24" org.eventb.core.predicate="m∉contains_module[published]"/>
<org.eventb.core.prPred name="p27" org.eventb.core.predicate="¬m∈contains_module[published]"/>
<org.eventb.core.prPred name="p25" org.eventb.core.predicate="sum∈(MODULE ↔ credits) → ℕ"/>
<org.eventb.core.prPred name="p30" org.eventb.core.predicate="modules⊆MODULE"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.autoRewritesL4:0"/>
<org.eventb.core.prReas name="r3" org.eventb.core.prRID="com.clearsy.atelierb.provers.core.externalML:1"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="org.eventb.core.seqprover.typeRewrites:1"/>
<org.eventb.core.prReas name="r2" org.eventb.core.prRID="org.eventb.core.seqprover.eq:1"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="unassign_module_outcome/grd4/WD" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2" org.eventb.core.prSets="MODULE,USER">
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</org.eventb.core.prAnte>
<org.eventb.core.prString name=".pos" org.eventb.core.prSValue="1"/>
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</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p8">
<org.eventb.core.prRule name="r4" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="functional goal" org.eventb.core.prGoal="p8" org.eventb.core.prHyps="p1"/>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
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</org.eventb.core.prRule>
<org.eventb.core.prIdent name="m" org.eventb.core.type="MODULE"/>
<org.eventb.core.prIdent name="module_leader" org.eventb.core.type="ℙ(MODULE×USER)"/>
<org.eventb.core.prIdent name="modules" org.eventb.core.type="ℙ(MODULE)"/>
<org.eventb.core.prIdent name="registered" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="registered⊆USER"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="m∈dom(module_leader)∧module_leader∈MODULE ⇸ USER"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="module_leader∈modules → registered"/>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="o∈M_OUTCOME">
<org.eventb.core.prIdent name="M_OUTCOME" org.eventb.core.type="ℙ(M_OUTCOME)"/>
<org.eventb.core.prIdent name="o" org.eventb.core.type="M_OUTCOME"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="m∈modules"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="programmes⊆PROGRAMME">
<org.eventb.core.prIdent name="PROGRAMME" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="module_leader∈MODULE ⇸ USER"/>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="modules⊆MODULE"/>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="m∈dom(module_leader)"/>
<org.eventb.core.prExpr name="e0" org.eventb.core.expression="modules"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="org.eventb.core.seqprover.conj:0"/>
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<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.typeRewrites:1"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="unassign_module_outcome/inv32/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25" org.eventb.core.prSets="MODULE,M_OUTCOME,PROGRAMME,P_OUTCOME,USER">
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<org.eventb.core.prHypAction name="HIDE2" org.eventb.core.prHyps="p29"/>
<org.eventb.core.prHypAction name="HIDE3" org.eventb.core.prHyps="p30"/>
<org.eventb.core.prRule name="r2" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="eh with u=module_leader(m)" org.eventb.core.prHyps="p13">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="FORWARD_INF0" org.eventb.core.prHyps="p20" org.eventb.core.prInfHyps="p31"/>
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<org.eventb.core.prIdent name="modules" org.eventb.core.type="ℙ(MODULE)"/>
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<org.eventb.core.prIdent name="outcome_mapping" org.eventb.core.type="ℙ(MODULE×M_OUTCOME×(PROGRAMME×P_OUTCOME))"/>
<org.eventb.core.prIdent name="programme_leader" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
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<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="published" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="registered" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="sum" org.eventb.core.type="ℙ(ℙ(MODULE×ℤ)×ℤ)"/>
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<org.eventb.core.prPred name="p31" org.eventb.core.predicate="module_leader(m)∈logged_in"/>
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<org.eventb.core.prPred name="p28" org.eventb.core.predicate="programmes⊆PROGRAMME"/>
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<org.eventb.core.prPred name="p17" org.eventb.core.predicate="programme_leader∈programmes → registered"/>
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<org.eventb.core.prPred name="p21" org.eventb.core.predicate="∀f⦂ℙ(MODULE×ℤ),m⦂MODULE·f∈MODULE ⇸ credits∧m∈dom(f)⇒sum(f)=sum({m} ⩤ f)+f(m)"/>
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<org.eventb.core.prPred name="p26" org.eventb.core.predicate="¬m∈contains_module[published]"/>
<org.eventb.core.prPred name="p25" org.eventb.core.predicate="sum∈(MODULE ↔ credits) → ℕ"/>
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<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="published" org.eventb.core.type="ℙ(PROGRAMME)"/>
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<org.eventb.core.prIdent name="contains_module" org.eventb.core.type="ℙ(PROGRAMME×MODULE)"/>
<org.eventb.core.prIdent name="credits" org.eventb.core.type="ℙ(ℤ)"/>
<org.eventb.core.prIdent name="credits_awarded" org.eventb.core.type="ℙ(MODULE×ℤ)"/>
<org.eventb.core.prIdent name="logged_in" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="m" org.eventb.core.type="MODULE"/>
<org.eventb.core.prIdent name="module_leader" org.eventb.core.type="ℙ(MODULE×USER)"/>
<org.eventb.core.prIdent name="module_outcomes" org.eventb.core.type="ℙ(MODULE×M_OUTCOME)"/>
<org.eventb.core.prIdent name="modules" org.eventb.core.type="ℙ(MODULE)"/>
<org.eventb.core.prIdent name="o" org.eventb.core.type="M_OUTCOME"/>
<org.eventb.core.prIdent name="outcome_mapping" org.eventb.core.type="ℙ(MODULE×M_OUTCOME×(PROGRAMME×P_OUTCOME))"/>
<org.eventb.core.prIdent name="programme_leader" org.eventb.core.type="ℙ(PROGRAMME×USER)"/>
<org.eventb.core.prIdent name="programme_outcomes" org.eventb.core.type="ℙ(PROGRAMME×P_OUTCOME)"/>
<org.eventb.core.prIdent name="programmes" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="published" org.eventb.core.type="ℙ(PROGRAMME)"/>
<org.eventb.core.prIdent name="registered" org.eventb.core.type="ℙ(USER)"/>
<org.eventb.core.prIdent name="sum" org.eventb.core.type="ℙ(ℙ(MODULE×ℤ)×ℤ)"/>
<org.eventb.core.prIdent name="u" org.eventb.core.type="USER"/>
<org.eventb.core.prPred name="p28" org.eventb.core.predicate="registered⊆USER"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="outcome_mapping∈module_outcomes∪{m ↦ o} ↔ programme_outcomes"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="contains_module∈programmes ↔ modules"/>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="module_leader∈MODULE ⇸ USER"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="programme_outcomes∈programmes ↔ P_OUTCOME"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="credits_awarded∈MODULE ⇸ credits"/>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="∀m⦂MODULE·m∈dom(dom(outcome_mapping))⇒dom(ran(({m} ◁ dom(outcome_mapping)) ◁ outcome_mapping))⊆contains_module∼[{m}]"/>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="module_outcomes∈modules ↔ M_OUTCOME"/>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="credits={15,30,45,60}"/>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="sum(∅ ⦂ ℙ(MODULE×ℤ))=0"/>
<org.eventb.core.prPred name="p9" org.eventb.core.predicate="m∈modules"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="administrators∈programmes ↔ registered"/>
<org.eventb.core.prPred name="p11" org.eventb.core.predicate="(∅ ⦂ ℙ(MODULE×ℤ))∈dom(sum)"/>
<org.eventb.core.prPred name="p12" org.eventb.core.predicate="sum∈ℙ(MODULE × ℤ) ⇸ ℤ"/>
<org.eventb.core.prPred name="p13" org.eventb.core.predicate="u=module_leader(m)"/>
<org.eventb.core.prPred name="p31" org.eventb.core.predicate="o∈M_OUTCOME"/>
<org.eventb.core.prPred name="p14" org.eventb.core.predicate="published⊆programmes"/>
<org.eventb.core.prPred name="p32" org.eventb.core.predicate="module_leader(m)∈logged_in"/>
<org.eventb.core.prPred name="p26" org.eventb.core.predicate="¬o∈module_outcomes[{m}]"/>
<org.eventb.core.prPred name="p15" org.eventb.core.predicate="o∉module_outcomes[{m}]"/>
<org.eventb.core.prPred name="p29" org.eventb.core.predicate="programmes⊆PROGRAMME"/>
<org.eventb.core.prPred name="p16" org.eventb.core.predicate="credits_awarded∈modules → credits"/>
<org.eventb.core.prPred name="p17" org.eventb.core.predicate="programme_leader∈programmes → registered"/>
<org.eventb.core.prPred name="p18" org.eventb.core.predicate="m∈dom(module_leader)"/>
<org.eventb.core.prPred name="p19" org.eventb.core.predicate="logged_in⊆registered"/>
<org.eventb.core.prPred name="p20" org.eventb.core.predicate="u∈logged_in"/>
<org.eventb.core.prPred name="p21" org.eventb.core.predicate="∀f⦂ℙ(MODULE×ℤ),m⦂MODULE·f∈MODULE ⇸ credits∧m∈dom(f)⇒sum(f)=sum({m} ⩤ f)+f(m)"/>