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Theorem bj-intabssel 13049
 Description: Version of intss1 3786 using a class abstraction and explicit substitution. (Contributed by BJ, 29-Nov-2019.)
Hypothesis
Ref Expression
bj-intabssel.nf
Assertion
Ref Expression
bj-intabssel

Proof of Theorem bj-intabssel
StepHypRef Expression
1 bj-intabssel.nf . . 3
21nfsbc1 2926 . . 3
3 sbceq1a 2918 . . 3
41, 2, 3elabgf 2826 . 2
5 intss1 3786 . 2
64, 5syl6bir 163 1
 Colors of variables: wff set class Syntax hints:   wi 4   wcel 1480  cab 2125  wnfc 2268  wsbc 2909   wss 3071  cint 3771 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 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2121 This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-clab 2126  df-cleq 2132  df-clel 2135  df-nfc 2270  df-v 2688  df-sbc 2910  df-in 3077  df-ss 3084  df-int 3772 This theorem is referenced by: (None)
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