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Diffstat (limited to 'test-suite/success/setoid_unif.v')
-rw-r--r-- | test-suite/success/setoid_unif.v | 27 |
1 files changed, 27 insertions, 0 deletions
diff --git a/test-suite/success/setoid_unif.v b/test-suite/success/setoid_unif.v new file mode 100644 index 00000000..912596b4 --- /dev/null +++ b/test-suite/success/setoid_unif.v @@ -0,0 +1,27 @@ +(* An example of unification in rewrite which uses eager substitution + of metas (provided by Pierre-Marie). + + Put in the test suite as an indication of what the use metas + eagerly flag provides, even though the concrete cases that use it + are seldom. Today supported thanks to a new flag for using evars + eagerly, after this variant of setoid rewrite started to use clause + environments based on evars (fbbe491cfa157da627) *) + +Require Import Setoid. + +Parameter elt : Type. +Parameter T : Type -> Type. +Parameter empty : forall A, T A. +Parameter MapsTo : forall A : Type, elt -> A -> T A -> Prop. + +(* Definition In A x t := exists e, MapsTo A x e t. *) +Axiom In : forall A, A -> T A -> Prop. +Axiom foo : forall A x, In A x (empty A) <-> False. + +Record R := { t : T unit; s : unit }. +Definition Empty := {| t := empty unit; s := tt |}. + +Goal forall x, ~ In _ x (t Empty). +Proof. +intros x. +rewrite foo. |