Theorem ancl 316

Description: Conjoin antecedent to left of consequent. (Contributed by NM, 15-Aug-1994.)

Assertion

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

Proof of Theorem ancl

Step	Hyp	Ref	Expression
1		pm3.2 138	. 2 |- ( ph -> ( ps -> ( ph /\ ps ) ) )
2	1	a2i 11	1 |- ( ( ph -> ps ) -> ( ph -> ( ph /\ ps ) ) )

Syntax hints:   -> wi 4   /\ wa 103

This theorem was proved from axioms:  ax-mp 5  ax-2 7  ax-ia3 107

This theorem is referenced by:  equs4  1713  eupickbi  2096