Theorems · Definition · number theory
IsHeckeTriple.recOn
{G : Type u_1} →
[inst : Group G] →
{Δ : Submonoid G} →
{H₁ H₂ : Subgroup G} →
{motive : IsHeckeTriple Δ H₁ H₂ → Sort u} →
(t : IsHeckeTriple Δ H₁ H₂) →
((left_le : H₁.toSubmonoid ≤ Δ) →
(right_le : H₂.toSubmonoid ≤ Δ) →
(commensurable : H₁.Commensurable H₂) →
(le_commensurator_right : Δ ≤ (Subgroup.Commensurable.commensurator H₂).toSubmonoid) → motive ⋯) →
motive t- Defined in
- Mathlib.NumberTheory.HeckeRing.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Subgroup.Commensurablestatement and proof · cited by 20
- IsHeckeTriplestatement and proof · cited by 14
- Subgroup.Commensurable.commensuratorstatement and proof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.