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adapt to coq/coq#18730 #88

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adapt to coq/coq#18730 #88

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14 changes: 7 additions & 7 deletions BigNumPrelude.v
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Original file line number Diff line number Diff line change
Expand Up @@ -148,11 +148,11 @@ Theorem Zmod_le_first: forall a b, 0 <= a -> 0 < b -> 0 <= a mod b <= a.
rewrite Zplus_mod; auto with zarith.
rewrite Zmod_small with (a := t); auto with zarith.
apply Zmod_small; auto with zarith.
split; auto with zarith.
assert (0 <= 2 ^a * r); auto with zarith.
apply Z.add_nonneg_nonneg; auto with zarith.
split; auto with zarith; try (
assert (0 <= 2 ^a * r); auto with zarith;
apply Z.add_nonneg_nonneg; auto with zarith;
match goal with |- context [?X mod ?Y] => case (Z_mod_lt X Y) end;
auto with zarith.
auto with zarith).
pattern (2 ^ b) at 2; replace (2 ^ b) with ((2 ^ b - 2 ^a) + 2 ^ a);
try ring.
apply Z.add_le_lt_mono; auto with zarith.
Expand All @@ -179,10 +179,10 @@ Theorem Zmod_le_first: forall a b, 0 <= a -> 0 < b -> 0 <= a mod b <= a.
rewrite Zmod_small with (a := t); auto with zarith.
apply Zmod_small; auto with zarith.
split; auto with zarith.
assert (0 <= 2 ^a * r); auto with zarith.
apply Z.add_nonneg_nonneg; auto with zarith.
assert (0 <= 2 ^a * r); auto with zarith; try (
apply Z.add_nonneg_nonneg; auto with zarith;
match goal with |- context [?X mod ?Y] => case (Z_mod_lt X Y) end;
auto with zarith.
auto with zarith).
pattern (2 ^ b) at 2;replace (2 ^ b) with ((2 ^ b - 2 ^a) + 2 ^ a); try ring.
apply Z.add_le_lt_mono; auto with zarith.
replace b with ((b - a) + a); try ring.
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