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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 31268 | . 2 ⊢ ManTop = {〈𝑛, 𝑗〉 ∣ (𝑛 ∈ ℕ0 ∧ (𝑗 ∈ 2ndω ∧ 𝑗 ∈ Haus ∧ 𝑗 ∈ Locally [(TopOpen‘(𝔼hil‘𝑛))] ≃ ))} | |
2 | 1 | relopabi 5697 | 1 ⊢ Rel ManTop |
Colors of variables: wff setvar class |
Syntax hints: ∧ wa 398 ∧ w3a 1083 ∈ wcel 2113 Rel wrel 5563 ‘cfv 6358 [cec 8290 ℕ0cn0 11900 TopOpenctopn 16698 Hauscha 21919 2ndωc2ndc 22049 Locally clly 22075 ≃ chmph 22365 𝔼hilcehl 23990 ManTopcmntop 31267 |
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 1969 ax-7 2014 ax-8 2115 ax-9 2123 ax-10 2144 ax-11 2160 ax-12 2176 ax-ext 2796 |
This theorem depends on definitions: df-bi 209 df-an 399 df-or 844 df-3an 1085 df-tru 1539 df-ex 1780 df-nf 1784 df-sb 2069 df-clab 2803 df-cleq 2817 df-clel 2896 df-nfc 2966 df-rab 3150 df-v 3499 df-dif 3942 df-un 3944 df-in 3946 df-ss 3955 df-nul 4295 df-if 4471 df-sn 4571 df-pr 4573 df-op 4577 df-opab 5132 df-xp 5564 df-rel 5565 df-mntop 31268 |
This theorem is referenced by: (None) |
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