Theorems · Theorem · general topology
Function.locallyFinsuppWithin.coe_finsum
∀ {X : Type u_1} [inst : TopologicalSpace X] {U : Set X} {ι : Type u_3} {F : ι → Function.locallyFinsuppWithin U ℤ},
⇑(∑ᶠ (i : ι), F i) = ∑ᶠ (i : ι), ⇑(F i)- Defined in
- Mathlib.Topology.LocallyFinsupp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites15
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
- Finset.sumproof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- Set.Finiteproof · cited by 1,814
- Function.supportproof · cited by 610
- Set.Finite.toFinsetproof · cited by 351
- finsumstatement and proof · cited by 286
- Set.Infiniteproof · cited by 263
- Function.locallyFinsuppWithinstatement and proof · cited by 127
- Set.Finite.toFinset.congr_simpproof · cited by 24
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