diff options
| -rw-r--r-- | theories/Logic/ProofIrrelevanceFacts.v | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/theories/Logic/ProofIrrelevanceFacts.v b/theories/Logic/ProofIrrelevanceFacts.v index 131668154e..7560ea96b5 100644 --- a/theories/Logic/ProofIrrelevanceFacts.v +++ b/theories/Logic/ProofIrrelevanceFacts.v @@ -27,7 +27,7 @@ Module ProofIrrelevanceTheory (M:ProofIrrelevance). forall (U:Type) (p:U) (Q:U -> Type) (x:Q p) (h:p = p), x = eq_rect p Q x p h. Proof. - intros; rewrite M.proof_irrelevance with (p1:=h) (p2:=eq_refl p). + intros U p Q x h; rewrite (M.proof_irrelevance _ h (eq_refl p)). reflexivity. Qed. End Eq_rect_eq. @@ -45,8 +45,8 @@ Module ProofIrrelevanceTheory (M:ProofIrrelevance). forall (U:Type) (P:U->Prop) (x y:U) (p:P x) (q:P y), x = y -> exist P x p = exist P y q. Proof. - intros. - rewrite M.proof_irrelevance with (p1:=q) (p2:=eq_rect x P p y H). + intros U P x y p q H. + rewrite (M.proof_irrelevance _ q (eq_rect x P p y H)). elim H using eq_indd. reflexivity. Qed. @@ -55,8 +55,8 @@ Module ProofIrrelevanceTheory (M:ProofIrrelevance). forall (U:Type) (P:U->Prop) (x y:U) (p:P x) (q:P y), x = y -> existT P x p = existT P y q. Proof. - intros. - rewrite M.proof_irrelevance with (p1:=q) (p2:=eq_rect x P p y H). + intros U P x y p q H. + rewrite (M.proof_irrelevance _ q (eq_rect x P p y H)). elim H using eq_indd. reflexivity. Qed. |