Theorems · Theorem · general topology

ContinuousMap.sub_apply

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : Sub β]
  [inst_3 : ContinuousSub β] (f g : C(α, β)) (x : α), (f - g) x = f x - g x

Defined in

Mathlib.Topology.ContinuousMap.Algebra

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceSubContinuousSub