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Theorem eel0321old 36741
Description: el0321old 36742 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 667 1  |-  ( ( ps  /\  ch  /\  th )  ->  et )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 370    /\ w3a 982
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 188  df-an 372
This theorem is referenced by:  el0321old  36742  suctrALTcf  36959
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