Theorem re1axmp 1529

Description: ax-mp 5 derived from Russell-Bernays'. (Contributed by Anthony Hart, 19-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
re1axmp.min	|- ph
re1axmp.maj	|- (ph -> ps)

Assertion

Ref	Expression
re1axmp	|- ps

Proof of Theorem re1axmp

Step	Hyp	Ref	Expression
1		re1axmp.min	. 2 |- ph
2		re1axmp.maj	. . 3 |- (ph -> ps)
3		rb-imdf 1515	. . . 4 |- -. (-. (-. (ph -> ps) \/ (-. ph \/ ps)) \/ -. (-. (-. ph \/ ps) \/ (ph -> ps)))
4	3	rblem6 1527	. . 3 |- (-. (ph -> ps) \/ (-. ph \/ ps))
5	2, 4	anmp 1516	. 2 |- (-. ph \/ ps)
6	1, 5	anmp 1516	1 |- ps

Syntax hints:  -. wn 3   -> 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  df-an 360

This theorem is referenced by: (None)