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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
StepHypRef Expression
1 nftru 1626 . . 3
2 nfreu.1 . . . 4
32a1i 11 . . 3
4 nfreu.2 . . . 4
54a1i 11 . . 3
61, 3, 5nfreud 3030 . 2
76trud 1404 1
Colors of variables: wff setvar class
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
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