Definition df-id4 52

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

Assertion

Ref	Expression
df-id4	(a ==4 b) = ((a_|_ v b) ^ (b_|_ v (a ^ b)))

Detailed syntax breakdown of Definition df-id4

Step	Hyp	Ref	Expression
1		wva	. . 3 term a
2		wvb	. . 3 term b
3	1, 2	wid4 22	. 2 term (a ==4 b)
4	1	wn 4	. . . 4 term a_|_
5	4, 2	wo 6	. . 3 term (a_|_ v b)
6	2	wn 4	. . . 4 term b_|_
7	1, 2	wa 7	. . . 4 term (a ^ b)
8	6, 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 ==4 b) = ((a_|_ v b) ^ (b_|_ v (a ^ b)))

This definition is referenced by:  nomb41 291  nom24 309  nom53 326

metamath.org