Theorem jabtaib 41099

Description: For when pm3.4 lacks a pm3.4i. (Contributed by Jarvin Udandy, 9-Sep-2020.)

Hypothesis

Ref	Expression
jabtaib.1	|- ( ph /\ ps )

Assertion

Ref	Expression
jabtaib	|- ( ph -> ps )

Proof of Theorem jabtaib

Step	Hyp	Ref	Expression
1		jabtaib.1	. 2 |- ( ph /\ ps )
2		pm3.4 584	. 2 |- ( ( ph /\ ps ) -> ( ph -> ps ) )
3	1, 2	ax-mp 5	1 |- ( ph -> ps )

Syntax hints:   -> wi 4   /\ 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)