Theorems · Theorem · general topology

Dense.of_closure

∀ {X : Type u} [inst : TopologicalSpace X] {s : Set X}, Dense (closure s) → Dense s

Alias of the forward direction of dense_closure. The closure of a set s is dense if and only if s is dense.

Defined in

Mathlib.Topology.Closure

Cited by

3 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace