Theorems · Theorem · general topology
tsupport_comp_subset
∀ {X : Type u_1} {α : Type u_2} {β : Type u_4} [inst : Zero α] [inst_1 : TopologicalSpace X] [inst_2 : Zero β]
{g : α → β}, g 0 = 0 → ∀ (f : X → α), tsupport (g ∘ f) ⊆ tsupport f- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroTopologicalSpaceZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- tsupportstatement · cited by 178
- closure_monoproof · cited by 133
- Function.support_comp_subsetproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- tsupport_fderiv_apply_subsetproof · cited by 5
- Distribution.TemperedDistribution.dsupport_deltaproof · cited by 0