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Theorem mp2b 9
Description: A double modus ponens inference. (Contributed by Mario Carneiro, 24-Jan-2013.)
Hypotheses
Ref Expression
mp2b.1
mp2b.2
mp2b.3
Assertion
Ref Expression
mp2b

Proof of Theorem mp2b
StepHypRef Expression
1 mp2b.1 . . 3
2 mp2b.2 . . 3
31, 2ax-mp 8 . 2
4 mp2b.3 . 2
53, 4ax-mp 8 1
Colors of variables: wff set class
Syntax hints:   wi 4
This theorem was proved from axioms:  ax-mp 8
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