Theorems · Theorem · general topology

ContinuousMap.comp_const

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β]
  [inst_2 : TopologicalSpace γ] (f : C(β, γ)) (b : β), f.comp (ContinuousMap.const α b) = ContinuousMap.const α (f b)

Defined in

Mathlib.Topology.ContinuousMap.Basic

Cited by

3 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace