Theorems · Theorem · general topology

IsDenseInducing.dense_image

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {i : α → β},
  IsDenseInducing i → ∀ {s : Set α}, Dense (i '' s) ↔ Dense s

Defined in

Mathlib.Topology.DenseEmbedding

Cited by

1 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace