Theorems · Theorem · group theory
Subgroup.Commensurable.trans
∀ {G : Type u_1} [inst : Group G] {H K L : Subgroup G}, H.Commensurable K → K.Commensurable L → H.Commensurable L- Defined in
- Mathlib.GroupTheory.Commensurable
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 102 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.
Cites4
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
- Subgroup.Commensurablestatement and proof · cited by 20
- Subgroup.relIndex_ne_zero_transproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Subgroup.Commensurable.eqproof · cited by 1
- Subgroup.IsArithmetic.conjproof · cited by 1
- Subgroup.Commensurable.equivalenceproof · cited by 0
- IsHeckeTriple.transproof · cited by 0
- IsHeckeTriple.commensurable_conjAct_rightproof · cited by 0