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Theorem dfral2 2626

Description: Relationship between restricted universal and existential quantifiers. (Contributed by NM, 21-Jan-1997.)

**Assertion**
Ref	Expression
dfral2

**Proof of Theorem dfral2**
Step	Hyp	Ref	Expression
1		rexnal 2625	. 2
2	1	con2bii 322	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wb 176

wral 2614

wrex 2615

This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-5 1557

This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-ral 2619 df-rex 2620

This theorem is referenced by: dfpss4 3888 ncfinraiselem2 4480 evenodddisjlem1 4515 nnadjoinlem1 4519 nnpweqlem1 4522 tfinnnlem1 4533 spfinex 4537 extex 5915