Theorem nfra2 2844

Description: Similar to Lemma 24 of [Monk2] p. 114, except the quantification of the antecedent is restricted. Derived automatically from hbra2VD 33660. Contributed by Alan Sare 31-Dec-2011. (Contributed by NM, 31-Dec-2011.)

Assertion

Ref	Expression
nfra2

Distinct variable group:   ,

Proof of Theorem nfra2

Step	Hyp	Ref	Expression
1		nfcv 2619	. 2
2		nfra1 2838	. 2
3	1, 2	nfral 2843	1

Syntax hints:  F/wnf 1616  A.wral 2807

This theorem is referenced by:  ralcom2  3022  invdisj  4441  reusv3  4660  dedekind  9765  dedekindle  9766  mreexexd  15045  gsummatr01lem4  19160  ordtconlem1  27906  islptre  31625  tratrb  33307  bnj1379  33889

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-cleq 2449  df-clel 2452  df-nfc 2607  df-ral 2812