Theorems · Theorem · general topology

Semicontinuous.comp

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] {r : α → β → Prop} {γ : Type u_4}
  [inst_1 : TopologicalSpace γ] {g : γ → α}, Semicontinuous r → Continuous g → Semicontinuous (r ∘ g)

Defined in

Mathlib.Topology.Semicontinuity.Defs

Cited by

5 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace