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authorGravatar Enrico Tassi <gareuselesinge@debian.org>2016-12-27 16:53:30 +0100
committerGravatar Enrico Tassi <gareuselesinge@debian.org>2016-12-27 16:53:30 +0100
commita4c7f8bd98be2a200489325ff7c5061cf80ab4f3 (patch)
tree26dd9c4aa142597ee09c887ef161d5f0fa5077b6 /test-suite/success/contradiction.v
parent164c6861860e6b52818c031f901ffeff91fca16a (diff)
Imported Upstream version 8.6upstream/8.6
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+(* Some tests for contradiction *)
+
+Lemma L1 : forall A B : Prop, A -> ~A -> B.
+Proof.
+intros; contradiction.
+Qed.
+
+Lemma L2 : forall A B : Prop, ~A -> A -> B.
+Proof.
+intros; contradiction.
+Qed.
+
+Lemma L3 : forall A : Prop, ~True -> A.
+Proof.
+intros; contradiction.
+Qed.
+
+Lemma L4 : forall A : Prop, forall x : nat, ~x=x -> A.
+Proof.
+intros; contradiction.
+Qed.
+
+Lemma L5 : forall A : Prop, forall x y : nat, ~x=y -> x=y -> A.
+Proof.
+intros; contradiction.
+Qed.
+
+Lemma L6 : forall A : Prop, forall x y : nat, x=y -> ~x=y -> A.
+Proof.
+intros; contradiction.
+Qed.
+