Theorem orcoms 378

Description: Commutation of disjuncts in antecedent. (Contributed by NM, 2-Dec-2012.)

Hypothesis

Ref	Expression
orcoms.1	|- ((ph \/ ps) -> ch)

Assertion

Ref	Expression
orcoms	|- ((ps \/ ph) -> ch)

Proof of Theorem orcoms

Step	Hyp	Ref	Expression
1		pm1.4 375	. 2 |- ((ps \/ ph) -> (ph \/ ps))
2		orcoms.1	. 2 |- ((ph \/ ps) -> ch)
3	1, 2	syl 15	1 |- ((ps \/ ph) -> ch)

Syntax hints:   -> wi 4   \/ wo 357

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-or 359

This theorem is referenced by:  olcs  384