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Theorem mp2OLD 19
Description: Obsolete proof of mp2 9 as of 21-Jul-2019. Shorter proof, but uses two more axioms. (Contributed by Wolf Lammen, 23-Jul-2013.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypotheses
Ref Expression
mp2OLD.1  |-  ph
mp2OLD.2  |-  ps
mp2OLD.3  |-  ( ph  ->  ( ps  ->  ch ) )
Assertion
Ref Expression
mp2OLD  |-  ch

Proof of Theorem mp2OLD
StepHypRef Expression
1 mp2OLD.1 . 2  |-  ph
2 mp2OLD.2 . . 3  |-  ps
3 mp2OLD.3 . . 3  |-  ( ph  ->  ( ps  ->  ch ) )
42, 3mpi 17 . 2  |-  ( ph  ->  ch )
51, 4ax-mp 5 1  |-  ch
Colors of variables: wff setvar class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator