Theorem syldbl2 38468

Description: Stacked hypotheseis implies goal. (Contributed by Stanislas Polu, 9-Mar-2020.)

Hypothesis

Ref	Expression
syldbl2.1	|- ( ( ph /\ ps ) -> ( ps -> th ) )

Assertion

Ref	Expression
syldbl2	|- ( ( ph /\ ps ) -> th )

Proof of Theorem syldbl2

Step	Hyp	Ref	Expression
1		syldbl2.1	. . 3 |- ( ( ph /\ ps ) -> ( ps -> th ) )
2	1	com12 32	. 2 |- ( ps -> ( ( ph /\ ps ) -> th ) )
3	2	anabsi7 860	1 |- ( ( ph /\ ps ) -> th )

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)