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Theorem baroco 2106
 Description: "Baroco", one of the syllogisms of Aristotelian logic. All is , and some is not , therefore some is not . (In Aristotelian notation, AOO-2: PaM and SoM therefore SoP.) For example, "All informative things are useful", "Some websites are not useful", therefore "Some websites are not informative." (Contributed by David A. Wheeler, 28-Aug-2016.)
Hypotheses
Ref Expression
baroco.maj
baroco.min
Assertion
Ref Expression
baroco

Proof of Theorem baroco
StepHypRef Expression
1 baroco.min . 2
2 baroco.maj . . . . 5
32spi 1516 . . . 4
43con3i 621 . . 3
54anim2i 339 . 2
61, 5eximii 1581 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wa 103  wal 1329  wex 1468 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 603  ax-in2 604  ax-5 1423  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-4 1487  ax-ial 1514 This theorem depends on definitions:  df-bi 116 This theorem is referenced by: (None)
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