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test: failed to infer implicit target (#3189)
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The `induction` tactic complains if implicit targets cannot be inferred,
let’s test that.
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nomeata authored Jan 17, 2024
1 parent f8edf45 commit 628633d
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30 changes: 30 additions & 0 deletions tests/lean/indimpltarget.lean
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namespace Ex1

theorem elim_with_implicit_target (motive : Nat → Nat → Prop) (case1 : ∀ m n, motive m n) (n : Nat) {m : Nat} : motive m n := case1 _ _

example (n m : Nat) : n ≤ m := by
induction n using elim_with_implicit_target
case case1 => sorry

end Ex1

namespace Ex2

theorem elim_with_implicit_target (motive : Nat → Nat → Prop) (case1 : ∀ m n, motive m n) {n : Nat} (m : Nat) : motive m n := case1 _ _

example (n m : Nat) : n ≤ m := by
induction m using elim_with_implicit_target
case case1 => sorry

end Ex2

namespace Ex3

-- this one should work
theorem elim_with_implicit_target (motive : (n : Nat) → Fin n → Prop) (case1 : ∀ m n, motive m n) {n : Nat} (m : Fin n) : motive n m := case1 _ _

example (n : Nat) (m : Fin n) : n ≤ m := by
induction m using elim_with_implicit_target
case case1 => sorry

end Ex3
5 changes: 5 additions & 0 deletions tests/lean/indimpltarget.lean.expected.out
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indimpltarget.lean:6:2-6:45: error: failed to infer implicit target, it contains unresolved metavariables
?m
indimpltarget.lean:16:2-16:45: error: failed to infer implicit target, it contains unresolved metavariables
?m
indimpltarget.lean:26:0-26:7: warning: declaration uses 'sorry'

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