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Theorem nfrmo 3033
Description: Bound-variable hypothesis builder for restricted uniqueness. (Contributed by NM, 16-Jun-2017.)
Hypotheses
Ref Expression
nfreu.1
nfreu.2
Assertion
Ref Expression
nfrmo

Proof of Theorem nfrmo
StepHypRef Expression
1 df-rmo 2815 . 2
2 nftru 1626 . . . 4
3 nfcvf 2644 . . . . . . 7
4 nfreu.1 . . . . . . . 8
54a1i 11 . . . . . . 7
63, 5nfeld 2627 . . . . . 6
7 nfreu.2 . . . . . . 7
87a1i 11 . . . . . 6
96, 8nfand 1925 . . . . 5
109adantl 466 . . . 4
112, 10nfmod2 2297 . . 3
1211trud 1404 . 2
131, 12nfxfr 1645 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  /\wa 369  A.wal 1393   wtru 1396  F/wnf 1616  e.wcel 1818  E*wmo 2283  F/_wnfc 2605  E*wrmo 2810
This theorem is referenced by:  2rmorex  3304  2reurex  32186
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-mo 2287  df-cleq 2449  df-clel 2452  df-nfc 2607  df-rmo 2815
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