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Theorem baroco 2310
 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 . . . . . 6
32spi 1753 . . . . 5
43con3i 127 . . . 4
54anim2i 552 . . 3
65eximi 1576 . 2
71, 6ax-mp 8 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4   wa 358  wal 1540  wex 1541 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746 This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542 This theorem is referenced by: (None)
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