Theorem expi 125

Description: An exportation inference.

Hypothesis

Ref	Expression
expi.1	|- (-. (ph -> -. ps) -> ch)

Assertion

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

Proof of Theorem expi

Step	Hyp	Ref	Expression
1		expi.1	. 2 |- (-. (ph -> -. ps) -> ch)
2		expt 123	. 2 |- ((-. (ph -> -. ps) -> ch) -> (ph -> (ps -> ch)))
3	1, 2	ax-mp 6	1 |- (ph -> (ps -> ch))

Syntax hints:  -. wn 1   -> wi 2

This theorem is referenced by:  bi3 132  pm3.2 232  exp 291  fr2nr 2177  fr3nr 2178

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6

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