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Theorem nsyl4 134
Description: A negated syllogism inference. (Contributed by NM, 15-Feb-1996.)
Hypotheses
Ref Expression
nsyl4.1
nsyl4.2
Assertion
Ref Expression
nsyl4

Proof of Theorem nsyl4
StepHypRef Expression
1 nsyl4.2 . . 3
21con1i 121 . 2
3 nsyl4.1 . 2
42, 3syl 15 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem is referenced by:  pm5.55  867  ax6o  1750  hbimdOLD  1816  naecoms  1948  ax6  2147  ax467  2169  ax467to7  2172  naecoms-o  2178  nfunsn  5353
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