Definition df-nel 1564

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 1562	. 2 wff A e/ B
4	1, 2	wcel 1105	. . 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 1618  neleq2 1619  ru 1909  pnfnre 5419  mnfnre 5420  ltxrltt 5423  renepnft 5461  renemnft 5462  xrltnrt 5465  pnfnltt 5470  nltmnft 5471  sqr2irr 6610  nthruc 6627  eirr 7286

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