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

Axiom ax-refl 42
Description: Reflexivity of equality. (Contributed by Mario Carneiro, 7-Oct-2014.)
Hypothesis
Ref Expression
ax-refl.1 A:α
Assertion
Ref Expression
ax-refl ⊤⊧(( = A)A)

Detailed syntax breakdown of Axiom ax-refl
StepHypRef Expression
1 kt 8 . 2 term
2 ke 7 . . . 4 term =
3 ta . . . 4 term A
42, 3kc 5 . . 3 term ( = A)
54, 3kc 5 . 2 term (( = A)A)
61, 5wffMMJ2 11 1 wff ⊤⊧(( = A)A)
Colors of variables: type var term
This axiom is referenced by:  wtru  43  eqcomx  52  eqid  83
  Copyright terms: Public domain W3C validator