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

Theorem ninjust 3210
Description: Soundness theorem for df-nin 3211. (Contributed by SF, 10-Jan-2015.)
Assertion
Ref Expression
ninjust
Distinct variable groups:   ,,   ,,

Proof of Theorem ninjust
StepHypRef Expression
1 eleq1 2413 . . 3
2 eleq1 2413 . . 3
31, 2nanbi12d 1303 . 2
43cbvabv 2472 1
Colors of variables: wff setvar class
Syntax hints:   wnan 1287   wceq 1642   wcel 1710  cab 2339
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-or 359  df-an 360  df-nan 1288  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator