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Theorem mp2d 41
Description: A double modus ponens deduction. (Contributed by NM, 23-May-2013.) (Proof shortened by Wolf Lammen, 23-Jul-2013.)
Hypotheses
Ref Expression
mp2d.1
mp2d.2
mp2d.3
Assertion
Ref Expression
mp2d

Proof of Theorem mp2d
StepHypRef Expression
1 mp2d.1 . 2
2 mp2d.2 . . 3
3 mp2d.3 . . 3
42, 3mpid 37 . 2
51, 4mpd 14 1
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)
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