Theorems · Definition · group theory
HNNExtension.NormalWord.ReducedWord.prod
{G : Type u_1} →
[inst : Group G] →
{A B : Subgroup G} → (φ : ↥A ≃* ↥B) → HNNExtension.NormalWord.ReducedWord G A B → HNNExtension G A B φThe product of a ReducedWord as an element of the HNNExtension
- Defined in
- Mathlib.GroupTheory.HNNExtension
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- MulEquivstatement and proof · cited by 1,142
- HNNExtension.NormalWord.ReducedWord.toListproof · cited by 31
- HNNExtensionstatement · cited by 26
- HNNExtension.NormalWord.ReducedWord.headproof · cited by 25
- HNNExtension.ofproof · cited by 20
- HNNExtension.tproof · cited by 20
- HNNExtension.NormalWord.ReducedWordstatement and proof · cited by 13
Cited by11
Results whose statement or proof uses this declaration.
- HNNExtension.NormalWord.prod_consstatement · cited by 2
- HNNExtension.NormalWord.prod_group_smulstatement · cited by 2
- HNNExtension.ReducedWord.exists_normalWord_prod_eqstatement and proof · cited by 1
- HNNExtension.ReducedWord.map_fst_eq_and_of_prod_eqstatement and proof · cited by 1
- HNNExtension.NormalWord.prod_injectivestatement · cited by 1
- HNNExtension.NormalWord.prod_smulstatement and proof · cited by 1
- HNNExtension.NormalWord.prod_unitsSMulstatement and proof · cited by 1
- HNNExtension.NormalWord.equivproof · cited by 1
- HNNExtension.ReducedWord.toList_eq_nil_of_mem_of_rangestatement and proof · cited by 0
- HNNExtension.NormalWord.prod_emptystatement · cited by 0
- HNNExtension.NormalWord.prod_smul_emptystatement and proof · cited by 0