Theorem ska9 237

Description: Soundness theorem for Kalmbach's quantum propositional logic axiom KA9. (Contributed by NM, 30-Aug-1997.)

Assertion

Ref	Expression
ska9	(a ≡ a⊥ ⊥ ) = 1

Proof of Theorem ska9

Step	Hyp	Ref	Expression
1		ax-a1 30	. 2 a = a⊥ ⊥
2	1	bi1 118	1 (a ≡ a⊥ ⊥ ) = 1

Syntax hints:   = wb 1  ^⊥ wn 4   ≡ tb 5  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: (None)