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Theorem ee10an 28469
Description: e10an 28468 without virtual deductions. sylancl 643 is also e10an 28468 without virtual deductions, except the order of the hypotheses is different. (Contributed by Alan Sare, 25-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee10an.1  |-  ( ph  ->  ps )
ee10an.2  |-  ch
ee10an.3  |-  ( ( ps  /\  ch )  ->  th )
Assertion
Ref Expression
ee10an  |-  ( ph  ->  th )

Proof of Theorem ee10an
StepHypRef Expression
1 ee10an.1 . 2  |-  ( ph  ->  ps )
2 ee10an.2 . 2  |-  ch
3 ee10an.3 . 2  |-  ( ( ps  /\  ch )  ->  th )
41, 2, 3sylancl 643 1  |-  ( ph  ->  th )
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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