Theorems · Definition · number theory
HeckeCoset
{G : Type u_1} → [inst : Group G] → Submonoid G → Subgroup G → Subgroup G → Type u_1A Hecke double coset: an equivalence class of Δ-elements under H₁gH₂ = H₁hH₂. This is
the basis type for the HeckeCosetModule.
- Defined in
- Mathlib.NumberTheory.HeckeRing.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement and proof · cited by 3,086
- HeckeCoset.setoidproof · cited by 0
Cited by7
Results whose statement or proof uses this declaration.
- HeckeCosetModuleproof · cited by 3
- HeckeCoset.mkstatement · cited by 1
- HeckeCosetModule.extstatement and proof · cited by 1
- HeckeCosetModule.ofstatement and proof · cited by 1
- HeckeCoset.one_defstatement · cited by 0
- HeckeCosetModule.ext_iffstatement and proof · cited by 0
- HeckeCosetModule.of_applystatement and proof · cited by 0