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Theorem ee01an 28771
Description: e01an 28770 without virtual deductions. sylancr 644 is also a form of e01an 28770 without virtual deduction, except the order of the hypotheses is different. (Contributed by Alan Sare, 25-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee01an.1  |-  ph
ee01an.2  |-  ( ps 
->  ch )
ee01an.3  |-  ( (
ph  /\  ch )  ->  th )
Assertion
Ref Expression
ee01an  |-  ( ps 
->  th )

Proof of Theorem ee01an
StepHypRef Expression
1 ee01an.1 . 2  |-  ph
2 ee01an.2 . 2  |-  ( ps 
->  ch )
3 ee01an.3 . 2  |-  ( (
ph  /\  ch )  ->  th )
41, 2, 3sylancr 644 1  |-  ( ps 
->  th )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358
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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