Theorem orcomd 377

Description: Commutation of disjuncts in consequent. (Contributed by NM, 2-Dec-2010.)

Hypothesis

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

Assertion

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

Proof of Theorem orcomd

Step	Hyp	Ref	Expression
1		orcomd.1	. 2 |- (ph -> (ps \/ ch))
2		orcom 376	. 2 |- ((ps \/ ch) <-> (ch \/ ps))
3	1, 2	sylib 188	1 |- (ph -> (ch \/ ps))

This proof depends on syntax axioms:   -> wi 4   \/ wo 357

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 177  df-or 359

This theorem is used by:  olcd  382  19.33b  1608  pwadjoin  4120  lefinlteq  4464  vfin1cltv  4548  phi011lem1  4599  erdisj  5973  ncdisjeq  6149  leconnnc  6219