Theorems · Theorem · number theory
IsHeckeTriple.le_commensurator_right
∀ {G : Type u_1} {inst : Group G} {Δ : Submonoid G} (H₁ : Subgroup G) {H₂ : Subgroup G} [self : IsHeckeTriple Δ H₁ H₂],
Δ ≤ (Subgroup.Commensurable.commensurator H₂).toSubmonoidThe submonoid Δ lies in the commensurator of the right subgroup (hence, the subgroups
being commensurable, also in that of the left one; see le_commensurator_left).
- Defined in
- Mathlib.NumberTheory.HeckeRing.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsHeckeTriple
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 114
- IsHeckeTriplestatement and proof · cited by 14
- Subgroup.Commensurable.commensuratorstatement · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- IsHeckeTriple.le_commensurator_leftproof · cited by 2
- IsHeckeTriple.mem_commensurator_rightproof · cited by 1
- IsHeckeTriple.transproof · cited by 0
- IsHeckeTriple.diag_rightproof · cited by 0