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Theorem ee101 27824
Description: e101 27823 without virtual deductions. (Contributed by Alan Sare, 23-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee101.1  |-  ( ph  ->  ps )
ee101.2  |-  ch
ee101.3  |-  ( ph  ->  th )
ee101.4  |-  ( ps 
->  ( ch  ->  ( th  ->  ta ) ) )
Assertion
Ref Expression
ee101  |-  ( ph  ->  ta )

Proof of Theorem ee101
StepHypRef Expression
1 ee101.1 . 2  |-  ( ph  ->  ps )
2 ee101.2 . . 3  |-  ch
32a1i 10 . 2  |-  ( ph  ->  ch )
4 ee101.3 . 2  |-  ( ph  ->  th )
5 ee101.4 . 2  |-  ( ps 
->  ( ch  ->  ( th  ->  ta ) ) )
61, 3, 4, 5syl3c 57 1  |-  ( ph  ->  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