Users' Mathboxes Mathbox for Alan Sare < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  ee110 Unicode version

Theorem ee110 28449
Description: e110 28448 without virtual deductions. (Contributed by Alan Sare, 22-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee110.1  |-  ( ph  ->  ps )
ee110.2  |-  ( ph  ->  ch )
ee110.3  |-  th
ee110.4  |-  ( ps 
->  ( ch  ->  ( th  ->  ta ) ) )
Assertion
Ref Expression
ee110  |-  ( ph  ->  ta )

Proof of Theorem ee110
StepHypRef Expression
1 ee110.1 . 2  |-  ( ph  ->  ps )
2 ee110.2 . 2  |-  ( ph  ->  ch )
3 ee110.3 . . 3  |-  th
43a1i 10 . 2  |-  ( ph  ->  th )
5 ee110.4 . 2  |-  ( ps 
->  ( ch  ->  ( th  ->  ta ) ) )
61, 2, 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