nextf - Mathbox for Anthony Hart

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Theorem nextf 32405

Description: There does not exist a set, such that

is true. (Contributed by Anthony Hart, 13-Sep-2011.)

**Assertion**
Ref	Expression
nextf

**Proof of Theorem nextf**
Step	Hyp	Ref	Expression
1		fal 1490	. 2
2	1	nex 1731	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wfal 1488

wex 1704

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722

This theorem depends on definitions: df-bi 197 df-tru 1486 df-fal 1489 df-ex 1705

This theorem is referenced by: unnf 32406 mof 32409