Theorems · Theorem · number theory
IsHeckeTriple.of_diagonal
∀ {G : Type u_1} [inst : Group G] {Δ : Submonoid G} {H : Subgroup G},
H.toSubmonoid ≤ Δ → Δ ≤ (Subgroup.Commensurable.commensurator H).toSubmonoid → IsHeckeTriple Δ H HThe Hecke triple (H, Δ, H) coming from a pair (H, Δ) with H ≤ Δ ≤ commensurator H.
- Defined in
- Mathlib.NumberTheory.HeckeRing.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites7
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
- Subgroup.toSubmonoidstatement and proof · cited by 114
- IsHeckeTriplestatement · cited by 14
- Subgroup.Commensurable.commensuratorstatement and proof · cited by 7
- Subgroup.Commensurable.reflproof · cited by 4
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