Theorem pm2.86i 92

Description: Inference based on pm2.86 94. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 3-Apr-2013.)

Hypothesis

Ref	Expression
pm2.86i.1	|- ((ph -> ps) -> (ph -> ch))

Assertion

Ref	Expression
pm2.86i	|- (ph -> (ps -> ch))

Proof of Theorem pm2.86i

Step	Hyp	Ref	Expression
1		ax-1 6	. . 3 |- (ps -> (ph -> ps))
2		pm2.86i.1	. . 3 |- ((ph -> ps) -> (ph -> ch))
3	1, 2	syl 15	. 2 |- (ps -> (ph -> ch))
4	3	com12 27	1 |- (ph -> (ps -> ch))

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by: (None)