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Theorem nceq 6108
 Description: Cardinality equality law. (Contributed by SF, 24-Feb-2015.)
Assertion
Ref Expression
nceq Nc Nc

Proof of Theorem nceq
StepHypRef Expression
1 eceq1 5962 . 2
2 df-nc 6101 . 2 Nc
3 df-nc 6101 . 2 Nc
41, 2, 33eqtr4g 2410 1 Nc Nc
 Colors of variables: wff setvar class Syntax hints:   wi 4   wceq 1642  cec 5945   cen 6028   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:  nceqi  6109  nceqd  6110  ncelncs  6120  1cnc  6139  ncaddccl  6144  ce0addcnnul  6179  nc0le1  6216  ce0lenc1  6239  muc0or  6252
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