Definition df-nel 1588

Description: Define negated membership.

Assertion

Ref	Expression
df-nel	|- (A e/ B <-> -. A e. B)

Detailed syntax breakdown of Definition df-nel

Step	Hyp	Ref	Expression
1		cA	. . 3 class A
2		cB	. . 3 class B
3	1, 2	wnel 1586	. 2 wff A e/ B
4	1, 2	wcel 958	. . 3 wff A e. B
5	4	wn 2	. 2 wff -. A e. B
6	3, 5	wb 146	1 wff (A e/ B <-> -. A e. B)

This definition is referenced by:  neleq1 1642  neleq2 1643  ru 1938  pnfnre 5496  mnfnre 5497  ltxrltt 5500  renepnft 5537  renemnft 5538  xrltnrt 5541  pnfnltt 5546  nltmnft 5547  sqr2irr 6729  nthruc 6745  eirr 7394

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