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

Axiom ax-ia2 106
Description: Right 'and' elimination. One of the axioms of propositional logic. (Contributed by Mario Carneiro, 31-Jan-2015.) Use its alias simpr 109 instead for naming consistency with set.mm. (New usage is discouraged.)
Assertion
Ref Expression
ax-ia2  |-  ( (
ph  /\  ps )  ->  ps )

Detailed syntax breakdown of Axiom ax-ia2
StepHypRef Expression
1 wph . . 3  wff  ph
2 wps . . 3  wff  ps
31, 2wa 103 . 2  wff  ( ph  /\ 
ps )
43, 2wi 4 1  wff  ( (
ph  /\  ps )  ->  ps )
Colors of variables: wff set class
This axiom is referenced by:  simpr  109
  Copyright terms: Public domain W3C validator