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Theorem elab2 2988

Description: Membership in a class abstraction, using implicit substitution. (Contributed by NM, 13-Sep-1995.)

**Assertion**
Ref	Expression
elab2

(

)

(

)

**Proof of Theorem elab2**
Step	Hyp	Ref	Expression
1		elab2.1	. 2
2		elab2.2	. . 3
3		elab2.3	. . 3
4	2, 3	elab2g 2987	. 2
5	1, 4	ax-mp 8	1

Colors of variables: wff setvar class

Syntax hints:

wi 4

wb 176

wceq 1642

wcel 1710

cab 2339

cvv 2859

This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334

This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2478 df-v 2861

This theorem is referenced by: elpw 3728 elint 3932 opkelopkabg 4245 0ceven 4505 eventfin 4517 oddtfin 4518 dfphi2 4569 phi11lem1 4595 0cnelphi 4597 proj1op 4600 proj2op 4601 opabid 4695 oprabid 5550 elfuns 5829