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Definition df-tr 4086
Description: Define the transitive class predicate. Definition of [Enderton] p. 71 extended to arbitrary classes. For alternate definitions, see dftr2 4087 (which is suggestive of the word "transitive"), dftr3 4089, dftr4 4090, and dftr5 4088. The term "complete" is used instead of "transitive" in Definition 3 of [Suppes] p. 130. (Contributed by NM, 29-Aug-1993.)
Assertion
Ref Expression
df-tr  |-  ( Tr  A  <->  U. A  C_  A
)

Detailed syntax breakdown of Definition df-tr
StepHypRef Expression
1 cA . . 3  class  A
21wtr 4085 . 2  wff  Tr  A
31cuni 3794 . . 3  class  U. A
43, 1wss 3121 . 2  wff  U. A  C_  A
52, 4wb 104 1  wff  ( Tr  A  <->  U. A  C_  A
)
Colors of variables: wff set class
This definition is referenced by:  dftr2  4087  dftr4  4090  treq  4091  trv  4097  pwtr  4202  unisuc  4396  unisucg  4397  orduniss  4408
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