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Theorem ralnex 2624

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

**Assertion**
Ref	Expression
ralnex

**Proof of Theorem ralnex**
Step	Hyp	Ref	Expression
1		df-ral 2619	. 2
2		alinexa 1578	. . 3 $/\$
3		df-rex 2620	. . 3 $/\$
4	2, 3	xchbinxr 302	. 2
5	1, 4	bitri 240	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4

wb 176 $/\$ wa 358

wal 1540

wex 1541

wcel 1710

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: dfrex2 2627 ralinexa 2659 nrex 2716 nrexdv 2717 r19.43 2766 rabeq0 3572 iindif2 4035 evenodddisj 4516 rexiunxp 4824