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Theorem e00an 28858
Description: Elimination rule identical to mp2an 653. The non-virtual deduction form is the virtual deduction form, which is mp2an 653. (Contributed by Alan Sare, 15-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
e00an.1  |-  ph
e00an.2  |-  ps
e00an.3  |-  ( (
ph  /\  ps )  ->  ch )
Assertion
Ref Expression
e00an  |-  ch

Proof of Theorem e00an
StepHypRef Expression
1 e00an.1 . 2  |-  ph
2 e00an.2 . 2  |-  ps
3 e00an.3 . 2  |-  ( (
ph  /\  ps )  ->  ch )
41, 2, 3mp2an 653 1  |-  ch
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
  Copyright terms: Public domain W3C validator