HOLE Home Higher-Order Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  HOLE Home  >  Th. List  >  ax-eqtypi Unicode version

Axiom ax-eqtypi 77
Description: Deduce equality of types from equality of expressions. (This is unnecessary but eliminates a lot of hypotheses.) (New usage is discouraged.) (Contributed by Mario Carneiro, 7-Oct-2014.)
Ref Expression
eqcomi.1 |- A:al
eqcomi.2 |- R |= [A = B]
Ref Expression
ax-eqtypi |- B:al

Detailed syntax breakdown of Axiom ax-eqtypi
StepHypRef Expression
1 hal . 2 type al
2 tb . 2 term B
31, 2wffMMJ2t 12 1 wff B:al
Colors of variables: type var term
This axiom is referenced by:  eqtypi  78
  Copyright terms: Public domain W3C validator