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Theorem sslin 3266
 Description: Add left intersection to subclass relation. (Contributed by NM, 19-Oct-1999.)
Assertion
Ref Expression
sslin

Proof of Theorem sslin
StepHypRef Expression
1 ssrin 3265 . 2
2 incom 3232 . 2
3 incom 3232 . 2
41, 2, 33sstr4g 3104 1
 Colors of variables: wff set class Syntax hints:   wi 4   cin 3034   wss 3035 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 681  ax-5 1404  ax-7 1405  ax-gen 1406  ax-ie1 1450  ax-ie2 1451  ax-8 1463  ax-10 1464  ax-11 1465  ax-i12 1466  ax-bndl 1467  ax-4 1468  ax-17 1487  ax-i9 1491  ax-ial 1495  ax-i5r 1496  ax-ext 2095 This theorem depends on definitions:  df-bi 116  df-tru 1315  df-nf 1418  df-sb 1717  df-clab 2100  df-cleq 2106  df-clel 2109  df-nfc 2242  df-v 2657  df-in 3041  df-ss 3048 This theorem is referenced by:  ss2in  3268  difdifdirss  3411  ssres2  4802  ssrnres  4937  sbthlem7  6800  ioodisj  9662  ntrss  12124  cnptoprest  12243
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