nfab1 - New Foundations Explorer

	New Foundations Explorer		< Previous Next > Nearby theorems
Mirrors > Home > NFE Home > Th. List > nfab1		Unicode version

Theorem nfab1 2491

Description: Bound-variable hypothesis builder for a class abstraction. (Contributed by Mario Carneiro, 11-Aug-2016.)

**Assertion**
Ref	Expression
nfab1

Proof of Theorem nfab1 Dummy variable

is distinct from all other variables.

Step	Hyp	Ref	Expression
1		nfsab1 2343	. 2
2	1	nfci 2479	1

Colors of variables: wff setvar class

Syntax hints:

cab 2339

wnfc 2476

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

This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-nfc 2478

This theorem is referenced by: nfabd2 2507 abid2f 2514 nfrab1 2791 elabgt 2982 elabgf 2983 nfsbc1d 3063 ss2ab 3334 abn0 3568 euabsn 3792 iunab 4012 iinab 4027 sniota 4369