Theorem 3anrev 784

Description: Reversal law for triple conjunction.

Assertion

Ref	Expression
3anrev	|- ((ph /\ ps /\ ch) <-> (ch /\ ps /\ ph))

Proof of Theorem 3anrev

Step	Hyp	Ref	Expression
1		3ancoma 782	. 2 |- ((ph /\ ps /\ ch) <-> (ps /\ ph /\ ch))
2		3anrot 780	. 2 |- ((ch /\ ps /\ ph) <-> (ps /\ ph /\ ch))
3	1, 2	bitr4 176	1 |- ((ph /\ ps /\ ch) <-> (ch /\ ps /\ ph))

Syntax hints:   <-> wb 146   /\ w3a 775

This theorem is referenced by:  3com13 838  lemuldivtOLD 5875

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  df-3an 777

Copyright terms: Public domain