Theorem orcoms 649

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		pm1.4 646	. 2 |- ( ( ps \/ ph ) -> ( ph \/ ps ) )
2		orcoms.1	. 2 |- ( ( ph \/ ps ) -> ch )
3	1, 2	syl 14	1 |- ( ( ps \/ ph ) -> ch )

Syntax hints:   -> wi 4   \/ wo 629

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630

This theorem depends on definitions:  df-bi 110

This theorem is referenced by:  olcs  655  dcn  746  xorbin  1275  19.33b2  1520  pwssunim  4021