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Theorem eel0321old 28803
Description: el0321old 28804 without virtual deductions. (Contributed by Alan Sare, 13-Jun-2015.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
eel0321old.1  |-  ph
eel0321old.2  |-  ( ( ps  /\  ch  /\  th )  ->  ta )
eel0321old.3  |-  ( (
ph  /\  ta )  ->  et )
Assertion
Ref Expression
eel0321old  |-  ( ( ps  /\  ch  /\  th )  ->  et )

Proof of Theorem eel0321old
StepHypRef Expression
1 eel0321old.1 . 2  |-  ph
2 eel0321old.2 . 2  |-  ( ( ps  /\  ch  /\  th )  ->  ta )
3 eel0321old.3 . 2  |-  ( (
ph  /\  ta )  ->  et )
41, 2, 3sylancr 644 1  |-  ( ( ps  /\  ch  /\  th )  ->  et )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358    /\ w3a 934
This theorem is referenced by:  el0321old  28804  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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