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Theorem otex 5082
Description: An ordered triple of classes is a set. (Contributed by NM, 3-Apr-2015.)
Assertion
Ref Expression
otex 𝐴, 𝐵, 𝐶⟩ ∈ V

Proof of Theorem otex
StepHypRef Expression
1 df-ot 4330 . 2 𝐴, 𝐵, 𝐶⟩ = ⟨⟨𝐴, 𝐵⟩, 𝐶
2 opex 5081 . 2 ⟨⟨𝐴, 𝐵⟩, 𝐶⟩ ∈ V
31, 2eqeltri 2835 1 𝐴, 𝐵, 𝐶⟩ ∈ V
Colors of variables: wff setvar class
Syntax hints:  wcel 2139  Vcvv 3340  cop 4327  cotp 4329
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871  ax-4 1886  ax-5 1988  ax-6 2054  ax-7 2090  ax-9 2148  ax-10 2168  ax-11 2183  ax-12 2196  ax-13 2391  ax-ext 2740  ax-sep 4933  ax-nul 4941  ax-pr 5055
This theorem depends on definitions:  df-bi 197  df-or 384  df-an 385  df-3an 1074  df-tru 1635  df-ex 1854  df-nf 1859  df-sb 2047  df-clab 2747  df-cleq 2753  df-clel 2756  df-nfc 2891  df-v 3342  df-dif 3718  df-un 3720  df-in 3722  df-ss 3729  df-nul 4059  df-if 4231  df-sn 4322  df-pr 4324  df-op 4328  df-ot 4330
This theorem is referenced by:  euotd  5123  splval  13702  splcl  13703  idaval  16909  idaf  16914  eldmcoa  16916  coaval  16919  mamufval  20393  msrval  31742  msrf  31746  mapdhval  37515
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