Theorem exp5g 15337

Description: An exportation inference.

Hypothesis

Ref	Expression
exp5g.1	|- ((ph /\ ps) -> (((ch /\ th) /\ ta) -> et))

Assertion

Ref	Expression
exp5g	|- (ph -> (ps -> (ch -> (th -> (ta -> et)))))

Proof of Theorem exp5g

Step	Hyp	Ref	Expression
1		exp5g.1	. . 3 |- ((ph /\ ps) -> (((ch /\ th) /\ ta) -> et))
2	1	exp4c 411	. 2 |- ((ph /\ ps) -> (ch -> (th -> (ta -> et))))
3	2	ex 402	1 |- (ph -> (ps -> (ch -> (th -> (ta -> et)))))

Syntax hints:   -> wi 3   /\ wa 240

This theorem is referenced by:  exp58 15342

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 164  df-an 242

Copyright terms: Public domain