Definition df-nel 1591

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 1589	. 2 wff A e/ B
4	1, 2	wcel 960	. . 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 1645  neleq2 1646  ru 1941  pnfnre 5508  mnfnre 5509  ltxrltt 5512  renepnft 5549  renemnft 5550  xrltnrt 5553  pnfnltt 5558  nltmnft 5559  sqr2irr 6730  nthruc 6746  eirr 7394

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