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Theorem eel00cT 28545
Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
eel00cT.1  |-  ph
eel00cT.2  |-  ps
eel00cT.3  |-  ( (
ph  /\  ps )  ->  ch )
Assertion
Ref Expression
eel00cT  |-  (  T. 
->  ch )

Proof of Theorem eel00cT
StepHypRef Expression
1 eel00cT.2 . . 3  |-  ps
2 eel00cT.1 . . . 4  |-  ph
3 eel00cT.3 . . . 4  |-  ( (
ph  /\  ps )  ->  ch )
42, 3mpan 651 . . 3  |-  ( ps 
->  ch )
51, 4ax-mp 8 . 2  |-  ch
65a1i 10 1  |-  (  T. 
->  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
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