Theorem bj-imbi12 32567

Description: Uncurried (imported) form of imbi12 336. (Contributed by BJ, 6-May-2019.)

Assertion

Ref	Expression
bj-imbi12	|- ( ( ( ph <-> ps ) /\ ( ch <-> th ) ) -> ( ( ph -> ch ) <-> ( ps -> th ) ) )

Proof of Theorem bj-imbi12

Step	Hyp	Ref	Expression
1		imbi12 336	. 2 |- ( ( ph <-> ps ) -> ( ( ch <-> th ) -> ( ( ph -> ch ) <-> ( ps -> th ) ) ) )
2	1	imp 445	1 |- ( ( ( ph <-> ps ) /\ ( ch <-> th ) ) -> ( ( ph -> ch ) <-> ( ps -> th ) ) )

Syntax hints:   -> wi 4   <-> wb 196   /\ wa 384

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

This theorem is referenced by: (None)