Theorem nomcon5 306

Description: Lemma for "Non-Orthomodular Models..." paper. (Contributed by NM, 7-Feb-1999.)

Assertion

Ref	Expression
nomcon5	(a ≡ b) = (b⊥ ≡ a⊥ )

Proof of Theorem nomcon5

Step	Hyp	Ref	Expression
1		bicom 96	. 2 (a ≡ b) = (b ≡ a)
2		conb 122	. 2 (b ≡ a) = (b⊥ ≡ a⊥ )
3	1, 2	ax-r2 36	1 (a ≡ b) = (b⊥ ≡ a⊥ )

Syntax hints:   = wb 1  ^⊥ wn 4   ≡ tb 5

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38

This theorem depends on definitions:  df-b 39  df-a 40

This theorem is referenced by: (None)