Theorem imim2 17

Description: A closed form of syllogism (see syl 12). Theorem *2.05 of [WhiteheadRussell] p. 100.

Assertion

Ref	Expression
imim2	|- ((ph -> ps) -> ((ch -> ph) -> (ch -> ps)))

Proof of Theorem imim2

Step	Hyp	Ref	Expression
1		ax-1 4	. 2 |- ((ph -> ps) -> (ch -> (ph -> ps)))
2	1	a2d 16	1 |- ((ph -> ps) -> ((ch -> ph) -> (ch -> ps)))

Syntax hints:   -> wi 3

This theorem is referenced by:  imim1 18  syldd 61  pm3.34 385  a4imt 1519  osumlem4 11216

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

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