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  2175  gencbvex  2819  mosubt  2950  trsuc  4469  eusv2nf  4503  mosubopt  4740  issref  5065  fo00  5558  eqfnov2  6053  hashfzp1  10969  dfgcd2  12335