Theorems · Theorem · general topology

TopologicalSpace.Compacts.map_singleton

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β}
  (hf : Continuous f) (x : α), TopologicalSpace.Compacts.map f hf {x} = {f x}

Defined in

Mathlib.Topology.Sets.Compacts

Cited by

1 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace