Theorem pm2.621 665

Description: Theorem *2.621 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.) (Revised by NM, 13-Dec-2013.)

Assertion

Ref	Expression
pm2.621	|- ((ph -> ps) -> ((ph \/ ps) -> ps))

Proof of Theorem pm2.621

Step	Hyp	Ref	Expression
1		id 19	. 2 |- ((ph -> ps) -> (ph -> ps))
2		idd 21	. 2 |- ((ph -> ps) -> (ps -> ps))
3	1, 2	jaod 636	1 |- ((ph -> ps) -> ((ph \/ ps) -> ps))

Syntax hints:   -> wi 4   \/ wo 628

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 629

This theorem depends on definitions:  df-bi 110

This theorem is referenced by:  pm2.62  666  pm2.73  718  pm4.72  735  undif4  3278