ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  ax-ia2 GIF version

Axiom ax-ia2 98
Description: Right 'and' elimination. Axiom 2 of 10 for intuitionistic logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-ia2 ((φ ψ) → ψ)

Detailed syntax breakdown of Axiom ax-ia2
StepHypRef Expression
1 wph . . 3 wff φ
2 wps . . 3 wff ψ
31, 2wa 95 . 2 wff (φ ψ)
43, 2wi 4 1 wff ((φ ψ) → ψ)
Colors of variables: wff set class
This axiom is referenced by:  simpr  101  pm5.54dc  813  dcan  823  sbequilem  1600  a4sbe  1604
  Copyright terms: Public domain W3C validator