Theorems · Theorem · general topology

tsupport_binop_subset

∀ {X : Type u_1} {α : Type u_2} {β : Type u_4} {γ : Type u_5} [inst : Zero α] [inst_1 : TopologicalSpace X]
  [inst_2 : Zero β] [inst_3 : Zero γ] (op : α → β → γ),
  op 0 0 = 0 → ∀ (f : X → α) (g : X → β), (tsupport fun x => op (f x) (g x)) ⊆ tsupport f ∪ tsupport g

Defined in

Mathlib.Topology.Algebra.Support

Cited by

3 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ZeroTopologicalSpaceZeroZero