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

Theorem nfrmo 2786
 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 2622 . 2
2 nftru 1554 . . . 4
3 nfcvf 2511 . . . . . . 7
4 nfreu.1 . . . . . . . 8
54a1i 10 . . . . . . 7
63, 5nfeld 2504 . . . . . 6
7 nfreu.2 . . . . . . 7
87a1i 10 . . . . . 6
96, 8nfand 1822 . . . . 5
109adantl 452 . . . 4
112, 10nfmod2 2217 . . 3
1211trud 1323 . 2
131, 12nfxfr 1570 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wa 358   wtru 1316  wal 1540  wnf 1544   wcel 1710  wmo 2205  wnfc 2476  wrmo 2617 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 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  ax-ext 2334 This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-eu 2208  df-mo 2209  df-cleq 2346  df-clel 2349  df-nfc 2478  df-rmo 2622 This theorem is referenced by:  2rmorex  3040
 Copyright terms: Public domain W3C validator