Theorems · Theorem · number theory
IsHeckeTriple.mem_commensurator_left
∀ {G : Type u_1} [inst : Group G] {Δ : Submonoid G} {H₁ : Subgroup G} (H₂ : Subgroup G) [IsHeckeTriple Δ H₁ H₂]
(g : ↥Δ), ↑g ∈ Subgroup.Commensurable.commensurator H₁Elements of Δ lie in the commensurator of the left subgroup.
- 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
- GroupIsHeckeTriple
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Cites6
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- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement and proof · cited by 3,086
- IsHeckeTriplestatement and proof · cited by 14
- Subgroup.Commensurable.commensuratorstatement · cited by 7
- IsHeckeTriple.le_commensurator_leftproof · cited by 2
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