Theorems · Theorem · general topology

Topology.IsInducing.of_codRestrict

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y} {t : Set Y}
  (ht : ∀ (x : X), f x ∈ t), Topology.IsInducing (Set.codRestrict f t ht) → Topology.IsInducing f

Defined in

Mathlib.Topology.Constructions

Cited by

2 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpace