Theorem ancr 321

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

Step	Hyp	Ref	Expression
1		pm3.21 264	. 2 |- ( ph -> ( ps -> ( ps /\ ph ) ) )
2	1	a2i 11	1 |- ( ( ph -> ps ) -> ( ph -> ( ps /\ ph ) ) )

Syntax hints:   -> wi 4   /\ wa 104

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 108

This theorem is referenced by:  bimsc1  963  ssddif  3369  reupick2  3421  intmin4  3872