Theorem adant423OLD 823

Description: Obsolete as of 2-Oct-2021. (Contributed by Glauco Siliprandi, 11-Dec-2019.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
adant423.1	|- ( ( ph /\ ps ) -> ch )

Assertion

Ref	Expression
adant423OLD	|- ( ( ( ( ph /\ th ) /\ ta ) /\ ps ) -> ch )

Proof of Theorem adant423OLD

Step	Hyp	Ref	Expression
1		simplll 798	. 2 |- ( ( ( ( ph /\ th ) /\ ta ) /\ ps ) -> ph )
2		adant423.1	. 2 |- ( ( ph /\ ps ) -> ch )
3	1, 2	sylancom 701	1 |- ( ( ( ( ph /\ th ) /\ ta ) /\ ps ) -> ch )

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)