diff options
Diffstat (limited to 'theories/Program/Subset.v')
| -rw-r--r-- | theories/Program/Subset.v | 14 |
1 files changed, 7 insertions, 7 deletions
diff --git a/theories/Program/Subset.v b/theories/Program/Subset.v index 269556c2..50b89b5c 100644 --- a/theories/Program/Subset.v +++ b/theories/Program/Subset.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -61,12 +61,12 @@ Ltac pi_subset_proofs := repeat pi_subset_proof. Ltac clear_subset_proofs := abstract_subset_proofs ; simpl in * |- ; pi_subset_proofs ; clear_dups. -Ltac pi := repeat progress f_equal ; apply proof_irrelevance. +Ltac pi := repeat f_equal ; apply proof_irrelevance. Lemma subset_eq : forall A (P : A -> Prop) (n m : sig P), n = m <-> `n = `m. Proof. - induction n. - induction m. + destruct n as (x,p). + destruct m as (x',p'). simpl. split ; intros ; subst. @@ -79,14 +79,14 @@ Qed. (* Somewhat trivial definition, but not unfolded automatically hence we can match on [match_eq ?A ?B ?x ?f] in tactics. *) -Definition match_eq (A B : Type) (x : A) (fn : forall (y : A | y = x), B) : B := +Definition match_eq (A B : Type) (x : A) (fn : {y : A | y = x} -> B) : B := fn (exist _ x eq_refl). (* This is what we want to be able to do: replace the originaly matched object by a new, propositionally equal one. If [fn] works on [x] it should work on any [y | y = x]. *) -Lemma match_eq_rewrite : forall (A B : Type) (x : A) (fn : forall (y : A | y = x), B) - (y : A | y = x), +Lemma match_eq_rewrite : forall (A B : Type) (x : A) (fn : {y : A | y = x} -> B) + (y : {y:A | y = x}), match_eq A B x fn = fn y. Proof. intros. |