Theorems · Theorem · group theory
HNNExtension.NormalWord.of_smul_eq_smul
∀ {G : Type u_1} [inst : Group G] {A B : Subgroup G} (φ : ↥A ≃* ↥B) {d : HNNExtension.NormalWord.TransversalPair G A B}
(g : G) (w : HNNExtension.NormalWord d), HNNExtension.of g • w = g • w- Defined in
- Mathlib.GroupTheory.HNNExtension
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 57 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.
Cites18
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
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MulEquivstatement and proof · cited by 1,142
- HNNExtension.NormalWord.TransversalPairstatement and proof · cited by 46
- HNNExtension.NormalWordstatement and proof · cited by 36
- HNNExtension.NormalWord.ReducedWord.toListproof · cited by 31
- HNNExtension.NormalWord.toReducedWordproof · cited by 30
- HNNExtensionstatement · cited by 26
- HNNExtension.NormalWord.ReducedWord.headproof · cited by 25
- HNNExtension.ofstatement · cited by 20
Cited by4
Results whose statement or proof uses this declaration.
- HNNExtension.ReducedWord.exists_normalWord_prod_eqproof · cited by 1
- HNNExtension.NormalWord.prod_smulproof · cited by 1
- HNNExtension.NormalWord.prod_smul_emptyproof · cited by 0
- HNNExtension.of_injectiveproof · cited by 0