Theorem orcoms 725

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		pm1.4 722	. 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 703

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 704

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  olcs  731  dcn  837  xorbin  1379  19.33b2  1622  r19.30dc  2617  pwssunim  4269  omnimkv  7132