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Theorem intexrabim 4114
 Description: The intersection of an inhabited restricted class abstraction exists. (Contributed by Jim Kingdon, 27-Aug-2018.)
Assertion
Ref Expression
intexrabim

Proof of Theorem intexrabim
StepHypRef Expression
1 intexabim 4113 . 2
2 df-rex 2441 . 2
3 df-rab 2444 . . . 4
43inteqi 3811 . . 3
54eleq1i 2223 . 2
61, 2, 53imtr4i 200 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103  wex 1472   wcel 2128  cab 2143  wrex 2436  crab 2439  cvv 2712  cint 3807 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 699  ax-5 1427  ax-7 1428  ax-gen 1429  ax-ie1 1473  ax-ie2 1474  ax-8 1484  ax-10 1485  ax-11 1486  ax-i12 1487  ax-bndl 1489  ax-4 1490  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2139  ax-sep 4082 This theorem depends on definitions:  df-bi 116  df-tru 1338  df-nf 1441  df-sb 1743  df-clab 2144  df-cleq 2150  df-clel 2153  df-nfc 2288  df-ral 2440  df-rex 2441  df-rab 2444  df-v 2714  df-in 3108  df-ss 3115  df-int 3808 This theorem is referenced by:  cardcl  7099  isnumi  7100  cardval3ex  7103  clsval  12471
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