diff options
| author |  Benjamin Barenblat <bbaren@debian.org> | 2018-12-29 14:31:27 -0500 |
|---|---|---|
| committer | Benjamin Barenblat <bbaren@debian.org> | 2018-12-29 14:31:27 -0500 |
| commit | 9043add656177eeac1491a73d2f3ab92bec0013c (patch) | |
| tree | 2b0092c84bfbf718eca10c81f60b2640dc8cab05 /test-suite/micromega/square.v | |
| parent | a4c7f8bd98be2a200489325ff7c5061cf80ab4f3 (diff) | |
Imported Upstream version 8.8.2upstream/8.8.2
Diffstat (limited to 'test-suite/micromega/square.v')
| -rw-r--r-- | test-suite/micromega/square.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/test-suite/micromega/square.v b/test-suite/micromega/square.v index abf8be72..d163dfbc 100644 --- a/test-suite/micromega/square.v +++ b/test-suite/micromega/square.v @@ -40,7 +40,7 @@ Proof. Qed. -Lemma QdenZpower : forall x : Q, ' Qden (x ^ 2)%Q = ('(Qden x) ^ 2) %Z. +Lemma QdenZpower : forall x : Q, Zpos (Qden (x ^ 2)%Q) = (Zpos (Qden x) ^ 2) %Z. Proof. intros. destruct x. @@ -54,9 +54,9 @@ Qed. Theorem sqrt2_not_rational : ~exists x:Q, x^2==2#1. Proof. unfold Qeq; intros (x,HQeq); simpl (Qden (2#1)) in HQeq; rewrite Z.mul_1_r in HQeq. - assert (Heq : (Qnum x ^ 2 = 2 * ' Qden x ^ 2%Q)%Z) by + assert (Heq : (Qnum x ^ 2 = 2 * Zpos (Qden x) ^ 2%Q)%Z) by (rewrite QnumZpower in HQeq ; rewrite QdenZpower in HQeq ; auto). assert (Hnx : (Qnum x <> 0)%Z) by (intros Hx; simpl in HQeq; rewrite Hx in HQeq; discriminate HQeq). - apply integer_statement; exists (Qnum x); exists (' Qden x); auto. + apply integer_statement; exists (Qnum x); exists (Zpos (Qden x)); auto. Qed. |