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Theorem trv 4557
Description: The universe is transitive. (Contributed by NM, 14-Sep-2003.)
Assertion
Ref Expression
trv

Proof of Theorem trv
StepHypRef Expression
1 ssv 3523 . 2
2 df-tr 4546 . 2
31, 2mpbir 209 1
Colors of variables: wff setvar class
Syntax hints:   cvv 3109  C_wss 3475  U.cuni 4249  Trwtr 4545
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-v 3111  df-in 3482  df-ss 3489  df-tr 4546
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