Theorems · Definition · general topology
Function.locallyFinsupp
(X : Type u_1) → [TopologicalSpace X] → (Y : Type u_2) → [Zero Y] → Type (max u_1 u_2)
A function with locally finite support is a function with locally finite support within
⊤ : Set X.
- Defined in
- Mathlib.Topology.LocallyFinsupp
- Cited by
- 43 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- TopologicalSpaceZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univproof · cited by 3,945
- Function.locallyFinsuppWithinproof · cited by 127
Cited by48
Results whose statement or proof uses this declaration.
- Function.locallyFinsuppWithin.logCountingstatement and proof · cited by 36
- Function.locallyFinsuppWithin.singlestatement · cited by 18
- Function.locallyFinsuppWithin.toClosedBallstatement · cited by 10
- Function.locallyFinsuppWithin.single_applystatement · cited by 8
- Function.locallyFinsuppWithin.logCounting_lestatement and proof · cited by 5
- Function.locallyFinsuppWithin.logCounting_single_eq_log_sub_conststatement · cited by 4
- Function.locallyFinsupp.mapstatement and proof · cited by 4
- Function.locallyFinsuppWithin.logCounting_nonnegstatement and proof · cited by 3
- Function.locallyFinsuppWithin.single_posstatement · cited by 3
- Function.locallyFinsuppWithin.toClosedBall_eval_withinstatement and proof · cited by 3
- ValueDistribution.logCounting_topstatement · cited by 3
- Function.locallyFinsuppWithin.logCounting_eval_zerostatement and proof · cited by 2