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Theorem cesare 2001
Description: "Cesare", one of the syllogisms of Aristotelian logic. No is , and all is , therefore no is . (In Aristotelian notation, EAE-2: PeM and SaM therefore SeP.) Related to celarent 1996. (Contributed by David A. Wheeler, 27-Aug-2016.) (Revised by David A. Wheeler, 13-Nov-2016.)
Hypotheses
Ref Expression
cesare.maj
cesare.min
Assertion
Ref Expression
cesare

Proof of Theorem cesare
StepHypRef Expression
1 cesare.maj . . . 4
21spi 1426 . . 3
3 cesare.min . . . 4
43spi 1426 . . 3
52, 4nsyl3 556 . 2
65ax-gen 1335 1
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4  wal 1240
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-in1 544  ax-in2 545  ax-gen 1335  ax-4 1397
This theorem is referenced by: (None)
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