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Theorems · Theorem · general topology

UniformSpace.Core.refl

∀ {α : Type u} (self : UniformSpace.Core α), Filter.principal SetRel.id ≤ self.uniformity

Every set in the uniformity filter includes the diagonal.

Defined in
Mathlib.Topology.UniformSpace.Defs
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
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Around this declaration

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refl_le_uniformity · cited by 4refl_le_uniformityUniformSpace.Core.nhds_toTopologicalSpace · cited by 1Core.nhds_toTopologicalSp…Filter · cited by 8121FilterFilter.principal · cited by 740Filter.principalSetRel.id · cited by 33SetRel.idUniformSpace.Core · cited by 10UniformSpace.CoreUniformSpace.Core.uniformity · cited by 8Core.uniformityCore.reflCITED BYCITES

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Cited by2

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