Theorem pm2.86i 70

Description: Inference based on pm2.86 69.

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		pm2.86i.1	. 2 |- ((ph -> ps) -> (ph -> ch))
2		pm2.86 69	. 2 |- (((ph -> ps) -> (ph -> ch)) -> (ph -> (ps -> ch)))
3	1, 2	ax-mp 7	1 |- (ph -> (ps -> ch))

Syntax hints:   -> wi 3

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7

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