Metamath Proof Explorer


Theorem eel021old

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

Ref Expression
Hypotheses eel021.1
|- ph
eel021.2
|- ( ( ps /\ ch ) -> th )
eel021.3
|- ( ( ph /\ th ) -> ta )
Assertion eel021old
|- ( ( ps /\ ch ) -> ta )

Proof

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