Theorems · Theorem · general topology
Function.locallyFinsuppWithin.ext
∀ {X : Type u_1} [inst : TopologicalSpace X] {U : Set X} {Y : Type u_2} [inst_1 : Zero Y]
{D₁ D₂ : Function.locallyFinsuppWithin U Y}, (∀ (a : X), D₁ a = D₂ a) → D₁ = D₂- Defined in
- Mathlib.Topology.LocallyFinsupp
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpaceZero
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.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- DFunLike.extproof · cited by 240
- Function.locallyFinsuppWithinstatement and proof · cited by 127
Cited by24
Results whose statement or proof uses this declaration.
- MeromorphicOn.divisor_smulproof · cited by 5
- MeromorphicOn.divisor_constproof · cited by 4
- MeromorphicOn.divisor_invproof · cited by 3
- MeromorphicOn.circleAverage_log_normproof · cited by 3
- MeromorphicOn.divisor_of_toMeromorphicNFOnproof · cited by 2
- MeromorphicOn.divisor_powproof · cited by 2
- MeromorphicOn.divisor_restrictproof · cited by 2
- MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_rightproof · cited by 2
- MeromorphicOn.divisor_congr_codiscreteWithinproof · cited by 2
- Function.locallyFinsuppWithin.sum_apply_smul_single_eq_self_on_univproof · cited by 1
- MeromorphicOn.divisor_zpowproof · cited by 1
- Function.locallyFinsupp.map_idproof · cited by 1