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Theorem mpii 39
Description: A doubly nested modus ponens inference. (Contributed by NM, 31-Dec-1993.) (Proof shortened by Wolf Lammen, 31-Jul-2012.)
Hypotheses
Ref Expression
mpii.1
mpii.2
Assertion
Ref Expression
mpii

Proof of Theorem mpii
StepHypRef Expression
1 mpii.1 . . 3
21a1i 10 . 2
3 mpii.2 . 2
42, 3mpdi 38 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:  equveli  1988  intmin  3946  dfiin2g  4000
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