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Theorems · Theorem · general topology

Compactum.isClosed_cl

∀ {X : Compactum} (A : Set X.A), IsClosed (Compactum.cl✝ A)
Defined in
Mathlib.Topology.Category.Compactum
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Compactum.str_eq_of_le_nhds · cited by 2Compactum.str_eq_of_le_nh…Set · cited by 53352SetIsClosed · cited by 1639IsClosedUltrafilter · cited by 193UltrafilterCategoryTheory.Monad.Algebra.A · cited by 81Algebra.ACategoryTheory.ofTypeMonad · cited by 21CategoryTheory.ofTypeMonadCompactum · cited by 10CompactumCompactum.str · cited by 9Compactum.strCompactum.isClosed_iff · cited by 1Compactum.isClosed_iffCompactum.isClosed_clCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.