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| Mirrors > Home > MPE Home > Th. List > Mathboxes > relmntop | Structured version Visualization version GIF version | ||
| Description: Manifold is a relation. (Contributed by Thierry Arnoux, 28-Dec-2019.) |
| Ref | Expression |
|---|---|
| relmntop | ⊢ Rel ManTop |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | df-mntop 34024 | . 2 ⊢ ManTop = {〈𝑛, 𝑗〉 ∣ (𝑛 ∈ ℕ0 ∧ (𝑗 ∈ 2ndω ∧ 𝑗 ∈ Haus ∧ 𝑗 ∈ Locally [(TopOpen‘(𝔼hil‘𝑛))] ≃ ))} | |
| 2 | 1 | relopabiv 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 ℕ0cn0 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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