Theorems · Theorem · general topology
tsupport_zero
∀ {X : Type u_1} {α : Type u_2} [inst : Zero α] [inst_1 : TopologicalSpace X], tsupport 0 = ∅- 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
- ZeroTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- closureproof · cited by 1,254
- tsupportstatement · cited by 178
- Function.support_zeroproof · cited by 12
- closure_emptyproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- HasCompactSupport.zeroproof · cited by 1
- SchwartzMap.tsupport_smulLeftCLM_subsetproof · cited by 0