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Theorem e00 28857
Description: Elimination rule identical to mp2 17. The non-virtual deduction form is the virtual deduction form, which is mp2 17. (Contributed by Alan Sare, 14-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
e00.1  |-  ph
e00.2  |-  ps
e00.3  |-  ( ph  ->  ( ps  ->  ch ) )
Assertion
Ref Expression
e00  |-  ch

Proof of Theorem e00
StepHypRef Expression
1 e00.1 . 2  |-  ph
2 e00.2 . 2  |-  ps
3 e00.3 . 2  |-  ( ph  ->  ( ps  ->  ch ) )
41, 2, 3mp2 17 1  |-  ch
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem is referenced by:  3impexpVD  28948  3impexpbicomVD  28949  onfrALTlem5VD  28977
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8
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