diff options
| -rw-r--r-- | test-suite/success/programequality.v | 13 | ||||
| -rw-r--r-- | theories/Program/Equality.v | 5 | ||||
| -rw-r--r-- | theories/Program/Subset.v | 1 |
3 files changed, 16 insertions, 3 deletions
diff --git a/test-suite/success/programequality.v b/test-suite/success/programequality.v new file mode 100644 index 000000000..414c572f8 --- /dev/null +++ b/test-suite/success/programequality.v @@ -0,0 +1,13 @@ +Require Import Program. + +Axiom t : nat -> Set. + +Goal forall (x y : nat) (e : x = y) (e' : x = y) (P : t y -> x = y -> Type) + (a : t x), + P (eq_rect _ _ a _ e) e'. +Proof. + intros. + pi_eq_proofs. clear e. + destruct e'. simpl. + change (P a eq_refl). +Abort.
\ No newline at end of file diff --git a/theories/Program/Equality.v b/theories/Program/Equality.v index a349eb908..d6f9bb9df 100644 --- a/theories/Program/Equality.v +++ b/theories/Program/Equality.v @@ -8,7 +8,6 @@ (** Tactics related to (dependent) equality and proof irrelevance. *) -Require Export ProofIrrelevance. Require Export JMeq. Require Import Coq.Program.Tactics. @@ -143,7 +142,7 @@ Ltac pi_eq_proof_hyp p := | [ H : X = Y |- _ ] => match p with | H => fail 2 - | _ => rewrite (proof_irrelevance (X = Y) p H) + | _ => rewrite (UIP _ X Y p H) end | _ => fail " No hypothesis with same type " end @@ -166,7 +165,7 @@ Hint Rewrite <- eq_rect_eq : refl_id. [coerce_* t eq_refl = t]. *) Lemma JMeq_eq_refl {A} (x : A) : JMeq_eq (@JMeq_refl _ x) = eq_refl. -Proof. apply proof_irrelevance. Qed. +Proof. apply UIP. Qed. Lemma UIP_refl_refl A (x : A) : Eqdep.EqdepTheory.UIP_refl A x eq_refl = eq_refl. diff --git a/theories/Program/Subset.v b/theories/Program/Subset.v index c8f37318d..2a3ec926b 100644 --- a/theories/Program/Subset.v +++ b/theories/Program/Subset.v @@ -9,6 +9,7 @@ Require Import Coq.Program.Utils. Require Import Coq.Program.Equality. +Require Export ProofIrrelevance. Local Open Scope program_scope. |