Theorems · Definition · group theory
HNNExtension.NormalWord.ReducedWord.toList
{G : Type u_1} → [inst : Group G] → {A B : Subgroup G} → HNNExtension.NormalWord.ReducedWord G A B → List (ℤˣ × G)The list of pairs (ℤˣ × G), where each pair (u, g) represents the element t^u * g of
HNNExtension G A B φ
- Defined in
- Mathlib.GroupTheory.HNNExtension
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext
- 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
- Unitsstatement · cited by 2,804
- HNNExtension.NormalWord.ReducedWordstatement and proof · cited by 13
Cited by41
Results whose statement or proof uses this declaration.
- HNNExtension.NormalWord.consstatement and proof · cited by 13
- HNNExtension.NormalWord.ReducedWord.prodproof · cited by 10
- HNNExtension.NormalWord.Cancelsproof · cited by 7
- HNNExtension.NormalWord.consRecOnstatement and proof · cited by 7
- HNNExtension.NormalWord.unitsSMulWithCancelproof · cited by 6
- HNNExtension.NormalWord.ReducedWord.chainstatement · cited by 4
- HNNExtension.NormalWord.cons.congr_simpstatement and proof · cited by 4
- HNNExtension.NormalWord.cons_headstatement and proof · cited by 4
- HNNExtension.NormalWord.cons_toListstatement and proof · cited by 4
- HNNExtension.NormalWord.ofGroup_toListstatement and proof · cited by 4
- HNNExtension.NormalWord.of_smul_eq_smulproof · cited by 4
- HNNExtension.NormalWord.mem_setstatement · cited by 3