MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-ord Unicode version

Definition df-ord 4725
Description: Define the ordinal predicate, which is true for a class that is transitive and is well-ordered by the epsilon relation. Variant of definition of [BellMachover] p. 468. (Contributed by NM, 17-Sep-1993.)
Assertion
Ref Expression
df-ord

Detailed syntax breakdown of Definition df-ord
StepHypRef Expression
1 cA . . 3
21word 4721 . 2
31wtr 4395 . . 3
4 cep 4633 . . . 4
51, 4wwe 4681 . . 3
63, 5wa 360 . 2
72, 6wb 178 1
Colors of variables: wff set class
This definition is referenced by:  ordeq  4729  ordwe  4735  ordtr  4736  trssord  4739  ordelord  4744  ord0  4774  ordon  6359  dford2  7687  smobeth  8575  gruina  8807  dford5reg  26239  dfon2  26249
  Copyright terms: Public domain W3C validator