Theorem nfreu 3032

Description: Bound-variable hypothesis builder for restricted unique existence. (Contributed by NM, 30-Oct-2010.) (Revised by Mario Carneiro, 8-Oct-2016.)

Hypotheses

Ref	Expression
nfreu.1
nfreu.2

Assertion

Ref	Expression
nfreu

Proof of Theorem nfreu

Step	Hyp	Ref	Expression
1		nftru 1626	. . 3
2		nfreu.1	. . . 4
3	2	a1i 11	. . 3
4		nfreu.2	. . . 4
5	4	a1i 11	. . 3
6	1, 3, 5	nfreud 3030	. 2
7	6	trud 1404	1

Syntax hints:  wtru 1396  F/wnf 1616  F/_wnfc 2605  E!wreu 2809

This theorem is referenced by:  sbcreu  3414  sbcreugOLD  3415  2reu7  32196  2reu8  32197

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-eu 2286  df-cleq 2449  df-clel 2452  df-nfc 2607  df-reu 2814