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Theorem eel021old 28778
Description: el021old 28779 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
StepHypRef Expression
1 eel021.1 . 2  |-  ph
2 eel021.2 . 2  |-  ( ( ps  /\  ch )  ->  th )
3 eel021.3 . 2  |-  ( (
ph  /\  th )  ->  ta )
41, 2, 3sylancr 644 1  |-  ( ( ps  /\  ch )  ->  ta )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358
This theorem is referenced by:  sspwimpcf  29012  suctrALTcf  29014
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360
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