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Theorems · Theorem · general topology

Urysohns.CU.disjoint_C_support_lim

∀ {X : Type u_1} [inst : TopologicalSpace X] {P : Set X → Set X → Prop} (c : Urysohns.CU P),
  Disjoint c.C (Function.support c.lim)
Defined in
Mathlib.Topology.UrysohnsLemma
Cited by
1 results in Mathlib
Foundations
Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

exists_tsupport_one_of_isOpen_isClosed · cited by 2exists_tsupport_one_of_is…Set · cited by 53352SetReal · cited by 25697RealTopologicalSpace · cited by 24529TopologicalSpaceDisjoint · cited by 2201DisjointFunction.support · cited by 610Function.supportUrysohns.CU · cited by 36Urysohns.CUUrysohns.CU.lim · cited by 13CU.limUrysohns.CU.C · cited by 11CU.CUrysohns.CU.lim_of_mem_C · cited by 4CU.lim_of_mem_CFunction.disjoint_support_iff · cited by 2Function.disjoint_support…CU.disjoint_C_support_limCITED BYCITES

Cites10

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Cited by1

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