Theorems · Theorem · general topology

Continuous.indicator

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β} {s : Set α}
  [inst_2 : Zero β], (∀ a ∈ frontier s, f a = 0) → Continuous f → Continuous (s.indicator f)

Defined in

Mathlib.Topology.Algebra.Indicator

Cited by

1 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceZero