Theorems · Inductive type · general topology
Function.locallyFinsuppWithin
{X : Type u_1} → [TopologicalSpace X] → Set X → (Y : Type u_2) → [Zero Y] → Type (max u_1 u_2)A function with locally finite support within U is a triple as specified below.
- Defined in
- Mathlib.Topology.LocallyFinsupp
- Cited by
- 127 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- TopologicalSpaceZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement · cited by 24,529
Cited by148
Results whose statement or proof uses this declaration.
- MeromorphicOn.divisorstatement · cited by 90
- Function.locallyFinsuppproof · cited by 43
- Function.locallyFinsuppWithin.supportstatement and proof · cited by 29
- MeromorphicOn.divisor_applystatement · cited by 28
- Function.locallyFinsuppWithin.apply_eq_zero_of_notMemstatement and proof · cited by 25
- Function.locallyFinsuppWithin.extstatement and proof · cited by 24
- Function.locallyFinsuppWithin.restrictstatement and proof · cited by 12
- Function.locallyFinsuppWithin.supportWithinDomainstatement and proof · cited by 12
- Function.locallyFinsuppWithin.toClosedBallstatement · cited by 10
- Function.locallyFinsuppWithin.finiteSupportstatement and proof · cited by 9
- Function.locallyFinsuppWithin.supportLocallyFiniteWithinDomainstatement and proof · cited by 6
- Function.locallyFinsuppWithin.restrictMonoidHom_applystatement and proof · cited by 5