Theorem 3impexpbicomi 1368

Description: Deduction form of 3impexpbicom 1367. Derived automatically from 3impexpbicomiVD in set.mm. (Contributed by Alan Sare, 31-Dec-2011.) (New usage is discouraged.) TODO: decide if this is worth keeping.

Hypothesis

Ref	Expression
3impexpbicomi.1	|- ((ph /\ ps /\ ch) -> (th <-> ta))

Assertion

Ref	Expression
3impexpbicomi	|- (ph -> (ps -> (ch -> (ta <-> th))))

Proof of Theorem 3impexpbicomi

Step	Hyp	Ref	Expression
1		3impexpbicomi.1	. . 3 |- ((ph /\ ps /\ ch) -> (th <-> ta))
2	1	bicomd 192	. 2 |- ((ph /\ ps /\ ch) -> (ta <-> th))
3	2	3exp 1150	1 |- (ph -> (ps -> (ch -> (ta <-> th))))

Syntax hints:   -> wi 4   <-> wb 176   /\ w3a 934

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936

This theorem is referenced by: (None)