Theorem 3impexpbicomi 38686

Description: Inference associated with 3impexpbicom 38685. Derived automatically from 3impexpbicomiVD 39093. (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	. . 3 |- ( ( ph /\ ps /\ ch ) -> ( th <-> ta ) )
2	1	bicomd 213	. 2 |- ( ( ph /\ ps /\ ch ) -> ( ta <-> th ) )
3	2	3exp 1264	1 |- ( ph -> ( ps -> ( ch -> ( ta <-> th ) ) ) )

Syntax hints:   -> wi 4   <-> wb 196   /\ w3a 1037

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 197  df-an 386  df-3an 1039

This theorem is referenced by:  sbcoreleleq  38745  sbcoreleleqVD  39095