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Theorem ska10 238
Description: Soundness theorem for Kalmbach's quantum propositional logic axiom KA10. (Contributed by NM, 30-Aug-1997.)
Assertion
Ref Expression
ska10 ((ab) ≡ (ab )) = 1

Proof of Theorem ska10
StepHypRef Expression
1 oran 87 . . 3 (ab) = (ab )
21con2 67 . 2 (ab) = (ab )
32bi1 118 1 ((ab) ≡ (ab )) = 1
Colors of variables: term
Syntax hints:   = wb 1   wn 4  tb 5  wo 6  wa 7  1wt 8
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42
This theorem is referenced by:  ska2  432
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