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

Theorem ancr 314
Description: Conjoin antecedent to right of consequent. (Contributed by NM, 15-Aug-1994.)
Assertion
Ref Expression
ancr  |-  ( (
ph  ->  ps )  -> 
( ph  ->  ( ps 
/\  ph ) ) )

Proof of Theorem ancr
StepHypRef Expression
1 pm3.21 260 . 2  |-  ( ph  ->  ( ps  ->  ( ps  /\  ph ) ) )
21a2i 11 1  |-  ( (
ph  ->  ps )  -> 
( ph  ->  ( ps 
/\  ph ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 102
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 106
This theorem is referenced by:  bimsc1  907  ssddif  3222  reupick2  3274  intmin4  3698
  Copyright terms: Public domain W3C validator