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Theorem ee02an 28777
Description: e02an 28776 without virtual deductions. (Contributed by Alan Sare, 8-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee02an.1  |-  ph
ee02an.2  |-  ( ps 
->  ( ch  ->  th )
)
ee02an.3  |-  ( (
ph  /\  th )  ->  ta )
Assertion
Ref Expression
ee02an  |-  ( ps 
->  ( ch  ->  ta ) )

Proof of Theorem ee02an
StepHypRef Expression
1 ee02an.1 . 2  |-  ph
2 ee02an.2 . 2  |-  ( ps 
->  ( ch  ->  th )
)
3 ee02an.3 . . 3  |-  ( (
ph  /\  th )  ->  ta )
43ex 423 . 2  |-  ( ph  ->  ( th  ->  ta ) )
51, 2, 4ee02 1367 1  |-  ( ps 
->  ( ch  ->  ta ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358
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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