Theorem anabs5 493

Description: Absorption into embedded conjunct.

Assertion

Ref	Expression
anabs5	|- ((ph /\ (ph /\ ps)) <-> (ph /\ ps))

Proof of Theorem anabs5

Step	Hyp	Ref	Expression
1		ancom 435	. 2 |- (((ph /\ ps) /\ ph) <-> (ph /\ (ph /\ ps)))
2		anabs1 492	. 2 |- (((ph /\ ps) /\ ph) <-> (ph /\ ps))
3	1, 2	bitr3 175	1 |- ((ph /\ (ph /\ ps)) <-> (ph /\ ps))

Syntax hints:   <-> wb 146   /\ wa 223

This theorem is referenced by:  axrep5 2698

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