Theorem pm3.2an3OLD 1241

Description: Obsolete proof of pm3.2an3 1240 as of 24-Apr-2021. (Contributed by Alan Sare, 24-Oct-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
pm3.2an3OLD	|- ( ph -> ( ps -> ( ch -> ( ph /\ ps /\ ch ) ) ) )

Proof of Theorem pm3.2an3OLD

Step	Hyp	Ref	Expression
1		pm3.2 463	. . 3 |- ( ( ph /\ ps ) -> ( ch -> ( ( ph /\ ps ) /\ ch ) ) )
2	1	ex 450	. 2 |- ( ph -> ( ps -> ( ch -> ( ( ph /\ ps ) /\ ch ) ) ) )
3		df-3an 1039	. . 3 |- ( ( ph /\ ps /\ ch ) <-> ( ( ph /\ ps ) /\ ch ) )
4	3	bicomi 214	. 2 |- ( ( ( ph /\ ps ) /\ ch ) <-> ( ph /\ ps /\ ch ) )
5	2, 4	syl8ib 246	1 |- ( ph -> ( ps -> ( ch -> ( ph /\ ps /\ ch ) ) ) )

Syntax hints:   -> wi 4   /\ wa 384   /\ 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: (None)