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Definition df-iord 4069
Description: Define the ordinal predicate, which is true for a class that is transitive and whose elements are transitive. Definition of ordinal in [Crosilla], p. "Set-theoretic principles incompatible with intuitionistic logic". (Contributed by Jim Kingdon, 10-Oct-2018.) Use its alias dford3 4070 instead for naming consistency with set.mm. (New usage is discouraged.)
Assertion
Ref Expression
df-iord  Ord  Tr  Tr
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-iord
StepHypRef Expression
1 cA . . 3
21word 4065 . 2  Ord
31wtr 3845 . . 3  Tr
4 vx . . . . . 6  setvar
54cv 1241 . . . . 5
65wtr 3845 . . . 4  Tr
76, 4, 1wral 2300 . . 3  Tr
83, 7wa 97 . 2  Tr  Tr
92, 8wb 98 1  Ord  Tr  Tr
Colors of variables: wff set class
This definition is referenced by:  dford3  4070
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