Theorems · Theorem · number theory
IsHeckeTriple.commensurable_conjAct_right
∀ {G : Type u_1} [inst : Group G] {Δ : Submonoid G} {H₁ H₂ : Subgroup G} [IsHeckeTriple Δ H₁ H₂] (g : ↥Δ),
(ConjAct.toConjAct ↑g • H₂).Commensurable H₁Conjugating the right subgroup of a Hecke triple (H₁, Δ, H₂) by an element of Δ gives a
subgroup commensurable with the left one.
- 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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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement and proof · cited by 3,086
- MulEquivstatement · cited by 1,142
- ConjActstatement · cited by 79
- Subgroup.pointwiseMulActionstatement · cited by 66
- ConjAct.toConjActstatement and proof · cited by 56
- Subgroup.Commensurablestatement and proof · cited by 20
- IsHeckeTriplestatement and proof · cited by 14
- Subgroup.Commensurable.transproof · cited by 5
- IsHeckeTriple.commensurableproof · cited by 3
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