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Theorems · Theorem · general topology

ClopenUpperSet.coe_mk

∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : LE α] (s : TopologicalSpace.Clopens α)
  (h : IsUpperSet s.carrier), ↑{ toClopens := s, upper' := h } = ↑s
Defined in
Mathlib.Topology.Sets.Order
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Foundations
Depth 10 from the axioms · uses no axioms
Assumes
TopologicalSpaceLE
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Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeIsUpperSet · cited by 148IsUpperSetTopologicalSpace.Clopens · cited by 53TopologicalSpace.ClopensClopenUpperSet · cited by 14ClopenUpperSetTopologicalSpace.Clopens.carrier · cited by 10Clopens.carrierClopenUpperSet.coe_mkCITED BYCITES

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