Theorems · Theorem · sequences and series
SummationFilter.comap_filter
∀ {β : Type u_2} {γ : Type u_3} (L : SummationFilter β) (f : γ ↪ β),
(L.comap f).filter = Filter.map (fun s => s.preimage ⇑f ⋯) L.filter- Cited by
- 5 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement · cited by 13,712
- Filterstatement · cited by 8,121
- Function.Embeddingstatement and proof · cited by 988
- Filter.mapstatement · cited by 819
- SummationFilterstatement and proof · cited by 607
- SummationFilter.filterstatement and proof · cited by 110
- Finset.preimagestatement · cited by 108
- SummationFilter.comapstatement and proof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- Function.Injective.hasProd_comap_iffproof · cited by 2
- Function.Injective.hasSum_comap_iffproof · cited by 2
- SummationFilter.support_comapproof · cited by 0
- Function.Injective.hasProd_comap_iff_of_hasSupportproof · cited by 0
- Function.Injective.hasSum_comap_iff_of_hasSupportproof · cited by 0