Theorem eel021old 38925

Description: el021old 38926 without virtual deductions. (Contributed by Alan Sare, 13-Jun-2015.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
eel021.1	|- ph
eel021.2	|- ( ( ps /\ ch ) -> th )
eel021.3	|- ( ( ph /\ th ) -> ta )

Assertion

Ref	Expression
eel021old	|- ( ( ps /\ ch ) -> ta )

Proof of Theorem eel021old

Step	Hyp	Ref	Expression
1		eel021.1	. 2 |- ph
2		eel021.2	. 2 |- ( ( ps /\ ch ) -> th )
3		eel021.3	. 2 |- ( ( ph /\ th ) -> ta )
4	1, 2, 3	sylancr 695	1 |- ( ( ps /\ ch ) -> ta )

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:  sspwimpcf  39156  suctrALTcf  39158