Theorem ska5 233

Description: Soundness theorem for Kalmbach's quantum propositional logic axiom KA5.

Assertion

Ref	Expression
ska5	((a ^ b) == (b ^ a)) = 1

Proof of Theorem ska5

Step	Hyp	Ref	Expression
1		ancom 74	. 2 (a ^ b) = (b ^ a)
2	1	bi1 118	1 ((a ^ b) == (b ^ a)) = 1

Syntax hints:   = wb 1   == tb 5   ^ 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

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