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Theorem bj-omsson 13244
Description: Constructive proof of omsson 4526. See also bj-omssonALT 13245. (Contributed by BJ, 27-Oct-2020.) (Proof modification is discouraged.) (New usage is discouraged.
Assertion
Ref Expression
bj-omsson  |-  om  C_  On

Proof of Theorem bj-omsson
StepHypRef Expression
1 bj-nnelon 13241 . 2  |-  ( x  e.  om  ->  x  e.  On )
21ssriv 3101 1  |-  om  C_  On
Colors of variables: wff set class
Syntax hints:    C_ wss 3071   Oncon0 4285   omcom 4504
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-in1 603  ax-in2 604  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-13 1491  ax-14 1492  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2121  ax-nul 4054  ax-pr 4131  ax-un 4355  ax-bd0 13095  ax-bdor 13098  ax-bdal 13100  ax-bdex 13101  ax-bdeq 13102  ax-bdel 13103  ax-bdsb 13104  ax-bdsep 13166  ax-infvn 13223
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-ral 2421  df-rex 2422  df-rab 2425  df-v 2688  df-dif 3073  df-un 3075  df-in 3077  df-ss 3084  df-nul 3364  df-sn 3533  df-pr 3534  df-uni 3737  df-int 3772  df-tr 4027  df-iord 4288  df-on 4290  df-suc 4293  df-iom 4505  df-bdc 13123  df-bj-ind 13209
This theorem is referenced by: (None)
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