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Theorem ee011 28453
Description: e011 28452 without virtual deductions. (Contributed by Alan Sare, 25-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee011.1  |-  ph
ee011.2  |-  ( ps 
->  ch )
ee011.3  |-  ( ps 
->  th )
ee011.4  |-  ( ph  ->  ( ch  ->  ( th  ->  ta ) ) )
Assertion
Ref Expression
ee011  |-  ( ps 
->  ta )

Proof of Theorem ee011
StepHypRef Expression
1 ee011.1 . . 3  |-  ph
21a1i 10 . 2  |-  ( ps 
->  ph )
3 ee011.2 . 2  |-  ( ps 
->  ch )
4 ee011.3 . 2  |-  ( ps 
->  th )
5 ee011.4 . 2  |-  ( ph  ->  ( ch  ->  ( th  ->  ta ) ) )
62, 3, 4, 5syl3c 57 1  |-  ( ps 
->  ta )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8
  Copyright terms: Public domain W3C validator