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

Theorem nceqd 6110
Description: Equality deduction for cardinality. (Contributed by SF, 24-Feb-2015.)
Hypothesis
Ref Expression
nceqd.1
Assertion
Ref Expression
nceqd Nc Nc

Proof of Theorem nceqd
StepHypRef Expression
1 nceqd.1 . 2
2 nceq 6108 . 2 Nc Nc
31, 2syl 15 1 Nc Nc
Colors of variables: wff setvar class
Syntax hints:   wi 4   wceq 1642   Nc cnc 6091
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 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-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-rex 2620  df-sn 3741  df-ima 4727  df-ec 5947  df-nc 6101
This theorem is referenced by:  df1c3g  6141  ncspw1eu  6159  pw1eltc  6162  dflec2  6210  nchoicelem7  6295  nchoicelem9  6297  nchoicelem11  6299  nchoicelem12  6300  nchoicelem14  6302  nchoicelem15  6303  nchoicelem16  6304  nchoicelem17  6305  nchoice  6308
  Copyright terms: Public domain W3C validator