DiscreteUniformity.eq_pure_of_cauchy

∀ {α : Type u} [uniformSpace : UniformSpace α] [DiscreteUniformity α] {f : Filter α}, Cauchy f → ∃ x, f = pure x

A Cauchy filter in a discrete uniform space is contained in the principal filter of a point.

Defined in: Mathlib.Topology.UniformSpace.Cauchy
Cited by: 1 results in Mathlib
Foundations: Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: UniformSpace DiscreteUniformity

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