HOLE Home Higher-Order Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  HOLE Home  >  Th. List  >  ax-eqmp Unicode version
Axiom ax-eqmp 45
Description: Modus ponens for equality. (Contributed by Mario Carneiro, 7-Oct-2014.)
Hypotheses
Ref Expression
ax-eqmp.1 |- R |= A
ax-eqmp.2 |- R |= (( = A)B)
Assertion
Ref Expression
ax-eqmp |- R |= B
Detailed syntax breakdown of Axiom ax-eqmp
StepHypRef Expression
1 tr . 2 term R
2 tb . 2 term B
31, 2wffMMJ2 11 1 wff R |= B
Colors of variables: type var term
This axiom is referenced by:  eqcomx  52  mpbirx  53  dfov1  74  mpbi  82
  Copyright terms: Public domain W3C validator