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Theorem eelT0 28864
Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
eelT0.1  |-  (  T. 
->  ph )
eelT0.2  |-  ps
eelT0.3  |-  ( (
ph  /\  ps )  ->  ch )
Assertion
Ref Expression
eelT0  |-  ch

Proof of Theorem eelT0
StepHypRef Expression
1 eelT0.2 . . 3  |-  ps
2 eelT0.1 . . . 4  |-  (  T. 
->  ph )
3 eelT0.3 . . . 4  |-  ( (
ph  /\  ps )  ->  ch )
42, 3sylan 457 . . 3  |-  ( (  T.  /\  ps )  ->  ch )
51, 4mpan2 652 . 2  |-  (  T. 
->  ch )
65trud 1314 1  |-  ch
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358    T. wtru 1307
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  df-tru 1310
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