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authorGravatar Samuel Mimram <smimram@debian.org>2006-11-21 21:38:49 +0000
committerGravatar Samuel Mimram <smimram@debian.org>2006-11-21 21:38:49 +0000
commit208a0f7bfa5249f9795e6e225f309cbe715c0fad (patch)
tree591e9e512063e34099782e2518573f15ffeac003 /test-suite/success/apply.v
parentde0085539583f59dc7c4bf4e272e18711d565466 (diff)
Imported Upstream version 8.1~gammaupstream/8.1.gamma
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+(* Test apply in *)
+
+Goal (forall x y, x = S y -> y=y) -> 2 = 4 -> 3=3.
+intros H H0.
+apply H in H0.
+assumption.
+Qed.
+
+Require Import ZArith.
+Open Scope Z_scope.
+Goal forall x y z, ~ z <= 0 -> x * z < y * z -> x <= y.
+intros; apply Znot_le_gt, Zgt_lt in H.
+apply Zmult_lt_reg_r, Zlt_le_weak in H0; auto.
+Qed.