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Theorem relmntop 34025
Description: Manifold is a relation. (Contributed by Thierry Arnoux, 28-Dec-2019.)
Assertion
Ref Expression
relmntop Rel ManTop

Proof of Theorem relmntop
Dummy variables 𝑗 𝑛 are mutually distinct and distinct from all other variables.
StepHypRef Expression
1 df-mntop 34024 . 2 ManTop = {⟨𝑛, 𝑗⟩ ∣ (𝑛 ∈ ℕ0 ∧ (𝑗 ∈ 2ndω ∧ 𝑗 ∈ Haus ∧ 𝑗 ∈ Locally [(TopOpen‘(𝔼hil𝑛))] ≃ ))}
21relopabiv 5830 1 Rel ManTop
Colors of variables: wff setvar class
Syntax hints:  wa 395  w3a 1087  wcel 2108  Rel wrel 5690  cfv 6561  [cec 8743  0cn0 12526  TopOpenctopn 17466  Hauscha 23316  2ndωc2ndc 23446  Locally clly 23472  chmph 23762  𝔼hilcehl 25418  ManTopcmntop 34023
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1910  ax-6 1967  ax-7 2007  ax-8 2110  ax-9 2118  ax-ext 2708
This theorem depends on definitions:  df-bi 207  df-an 396  df-tru 1543  df-ex 1780  df-sb 2065  df-clab 2715  df-cleq 2729  df-clel 2816  df-v 3482  df-ss 3968  df-opab 5206  df-xp 5691  df-rel 5692  df-mntop 34024
This theorem is referenced by: (None)
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