Theorem ancl 294

Description: Conjoin antecedent to left of consequent.

Assertion

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

Proof of Theorem ancl

Step	Hyp	Ref	Expression
1		pm3.2 283	. 2 |- (ph -> (ps -> (ph /\ ps)))
2	1	a2i 9	1 |- ((ph -> ps) -> (ph -> (ph /\ ps)))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  ancld 298  anclb 329  pm4.71 634  exintr 1115

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225

Copyright terms: Public domain