Theorem 3impexpbicomi 1288

Description: Deduction form of 3impexpbicom 1287. Derived automatically from 3impexpbicomiVD 16682. (Contributed by Alan Sare, 31-Dec-2011.)

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	. 2 |- ((ph /\ ps /\ ch) -> (th <-> ta))
2		3impexpbicom 1287	. 2 |- (((ph /\ ps /\ ch) -> (th <-> ta)) <-> (ph -> (ps -> (ch -> (ta <-> th)))))
3	1, 2	mpbi 206	1 |- (ph -> (ps -> (ch -> (ta <-> th))))

Syntax hints:   -> wi 3   <-> wb 163   /\ w3a 858

This theorem is referenced by:  sbcoreleleq 5830  sbcoreleleqVD 16683

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  df-3an 860

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