Theorem ancri 317

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 300	1 |- ( ph -> ( ps /\ ph ) )

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:  bamalip  2063  gencbvex  2646  mosubt  2770  trsuc  4185  eusv2nf  4214  mosubopt  4431  issref  4737  fo00  5193  eqfnov2  5639  dfgcd2  10547