Theorem ancl 529

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		pm3.2 434	. 2 |- (ph -> (ps -> (ph /\ ps)))
2	1	a2i 12	1 |- ((ph -> ps) -> (ph -> (ph /\ ps)))

Syntax hints:   -> wi 4   /\ wa 358

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 177  df-an 360

This theorem is referenced by:  equs4  1959  eupickbi  2270