Theorem ancri 324

Description: Deduction conjoining antecedent to right of consequent. (Contributed by NM, 15-Aug-1994.)

Hypothesis

Ref	Expression
ancri.1	|- ( ph -> ps )

Assertion

Ref	Expression
ancri	|- ( ph -> ( ps /\ ph ) )

Proof of Theorem ancri

Step	Hyp	Ref	Expression
1		ancri.1	. 2 |- ( ph -> ps )
2		id 19	. 2 |- ( ph -> ph )
3	1, 2	jca 306	1 |- ( 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:  bamalip  2177  gencbvex  2824  mosubt  2957  trsuc  4487  eusv2nf  4521  mosubopt  4758  issref  5084  fo00  5581  eqfnov2  6076  hashfzp1  11006  dfgcd2  12450