Theorem ancl 318

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		pm3.2 305	. 2 |- (ph -> (ps -> (ph /\ ps)))
2	1	a2i 10	1 |- ((ph -> ps) -> (ph -> (ph /\ ps)))

Syntax hints:   -> wi 3   /\ wa 240

This theorem is referenced by:  ancld 322  anclb 356  pm4.71 697  exintr 1475  sbsslem 2978  bnj1168 12960  bnj1118 13420  bnj1128 13428  bnj1145 13431  pm10.55 16316  eupickbi 16400

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 164  df-an 242

Copyright terms: Public domain