Sam Pollard sampollard
amintimany
/ EqFacts.v
Last active
December 10, 2021 00:02
Facts stating equivalence of axioms K, URIP, UIP, eq_rect_eq, projT_2_eq and JMeq_eq in Coq.
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| Require Import Coq.Logic.JMeq. | |
| Definition JMeq_eq := forall (A : Type) (x y : A), JMeq x y -> x = y. | |
| Section Eq_Facts. | |
| Variable A : Type. | |
| Definition K := forall (x : A) (P : x = x -> Prop), P eq_refl -> forall (eq : x = x), P eq. | |
| Definition URIP := forall (x : A) (eq : x = x), eq = eq_refl. |