Theorem pm2.83 31

Description: Theorem *2.83 of [WhiteheadRussell] p. 108.

Assertion

Ref	Expression
pm2.83	|- ((ph -> (ps -> ch)) -> ((ph -> (ch -> th)) -> (ph -> (ps -> th))))

Proof of Theorem pm2.83

Step	Hyp	Ref	Expression
1		imim1 15	. 2 |- ((ps -> ch) -> ((ch -> th) -> (ps -> th)))
2	1	imim3i 19	1 |- ((ph -> (ps -> ch)) -> ((ph -> (ch -> th)) -> (ph -> (ps -> th))))

Syntax hints:   -> wi 3

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

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