Theorem ancri 307

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 290	1 |- ( ph -> ( ps /\ ph ) )

Syntax hints:   -> wi 4   /\ wa 97

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 101

This theorem is referenced by:  truanOLD  1261  bamalip  2021  gencbvex  2600  mosubt  2718  trsuc  4159  eusv2nf  4188  mosubopt  4405  issref  4707  fo00  5162  eqfnov2  5608