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Theorem ee001 28764
Description: e001 28763 without virtual deductions. (Contributed by Alan Sare, 23-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee001.1  |-  ph
ee001.2  |-  ps
ee001.3  |-  ( ch 
->  th )
ee001.4  |-  ( ph  ->  ( ps  ->  ( th  ->  ta ) ) )
Assertion
Ref Expression
ee001  |-  ( ch 
->  ta )

Proof of Theorem ee001
StepHypRef Expression
1 ee001.1 . . 3  |-  ph
21a1i 10 . 2  |-  ( ch 
->  ph )
3 ee001.2 . . 3  |-  ps
43a1i 10 . 2  |-  ( ch 
->  ps )
5 ee001.3 . 2  |-  ( ch 
->  th )
6 ee001.4 . 2  |-  ( ph  ->  ( ps  ->  ( th  ->  ta ) ) )
72, 4, 5, 6syl3c 57 1  |-  ( ch 
->  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