Definition df-id2 50

Description: Define asymmetrical identity (for "Non-Orthomodular Models..." paper).

Assertion

Ref	Expression
df-id2	(a ==2 b) = ((a v b_|_) ^ (b v (a_|_ ^ b_|_)))

Detailed syntax breakdown of Definition df-id2

Step	Hyp	Ref	Expression
1		wva	. . 3 term a
2		wvb	. . 3 term b
3	1, 2	wid2 20	. 2 term (a ==2 b)
4	2	wn 4	. . . 4 term b_|_
5	1, 4	wo 6	. . 3 term (a v b_|_)
6	1	wn 4	. . . . 5 term a_|_
7	6, 4	wa 7	. . . 4 term (a_|_ ^ b_|_)
8	2, 7	wo 6	. . 3 term (b v (a_|_ ^ b_|_))
9	5, 8	wa 7	. 2 term ((a v b_|_) ^ (b v (a_|_ ^ b_|_)))
10	3, 9	wb 1	1 wff (a ==2 b) = ((a v b_|_) ^ (b v (a_|_ ^ b_|_)))

This definition is referenced by:  nomb32 292  nomcon1 294  nomcon2 295  nom22 307  nom51 324

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