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`nia` should be able to prove `x * y = 1 -> x = 1 \/ x = -1` #17935

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JasonGross opened this issue Aug 5, 2023 · 0 comments

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part: micromega

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JasonGross commented Aug 5, 2023

From Coq Require Import Lia ZArith Zify PreOmega.
Open Scope Z_scope.

Ltac Zify.zify_post_hook ::= Z.to_euclidean_division_equations.
Lemma eq_mul_1 : forall n m : Z, n * m = 1 -> n = 1 \/ n = - (1).
Proof.
  intros.
  Fail nia.
  assert (n = 1 / m); nia.
Qed.

JasonGross added the part: micromega label

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add Z.divide support for Z.to_euclidean_division_equations #17927

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