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Theorem syl3c 57
Description: A syllogism inference combined with contraction. e111 without virtual deductions. (Contributed by Alan Sare, 7-Jul-2011.)
Hypotheses
Ref Expression
syl3c.1
syl3c.2
syl3c.3
syl3c.4
Assertion
Ref Expression
syl3c

Proof of Theorem syl3c
StepHypRef Expression
1 syl3c.3 . 2
2 syl3c.1 . . 3
3 syl3c.2 . . 3
4 syl3c.4 . . 3
52, 3, 4sylc 56 . 2
61, 5mpd 14 1
Colors of variables: wff setvar class
Syntax hints:   wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8
This theorem is referenced by:  extd  5923  symd  5924  nchoicelem19  6307
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