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Theorems · Theorem · general topology

TopologicalSpace.ext_iff

∀ {X : Type u} {t t' : TopologicalSpace X}, t = t' ↔ ∀ (s : Set X), IsOpen s ↔ IsOpen s
Defined in
Mathlib.Topology.Basic
Cited by
2 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound
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Topology.isCoinducing_iff · cited by 3Topology.isCoinducing_iffTopologicalSpace.ext_iff_isClosed · cited by 1TopologicalSpace.ext_iff_…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceIsOpen · cited by 2400IsOpenTopologicalSpace.ext · cited by 15TopologicalSpace.extTopologicalSpace.ext_iffCITED BYCITES

Cites4

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Cited by2

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