diff options
| -rw-r--r-- | theories/Logic/Eqdep_dec.v | 6 |
1 files changed, 6 insertions, 0 deletions
diff --git a/theories/Logic/Eqdep_dec.v b/theories/Logic/Eqdep_dec.v index d10d6ff95..6dacf0af4 100644 --- a/theories/Logic/Eqdep_dec.v +++ b/theories/Logic/Eqdep_dec.v @@ -166,6 +166,12 @@ Theorem eq_dep_eq_dec : forall (P:A->Type) (p:A) (x y:P p), eq_dep A P p x p y -> x = y. Proof (fun A eq_dec => eq_rect_eq__eq_dep_eq A (eq_rect_eq_dec eq_dec)). +Theorem UIP_dec : + forall (A:Type), + (forall x y:A, {x = y} + {x <> y}) -> + forall (x y:A) (p1 p2:x = y), p1 = p2. +Proof (fun A eq_dec => eq_dep_eq__UIP A (eq_dep_eq_dec eq_dec)). + Unset Implicit Arguments. (************************************************************************) |