Theorems · Theorem · group theory
HNNExtension.equiv_eq_conj
∀ {G : Type u_1} [inst : Group G] {A B : Subgroup G} {φ : ↥A ≃* ↥B} (a : ↥A),
HNNExtension.of ↑(φ a) = HNNExtension.t * HNNExtension.of ↑a * HNNExtension.t⁻¹- Defined in
- Mathlib.GroupTheory.HNNExtension
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- mul_inv_cancel_rightproof · cited by 53
- HNNExtensionstatement and proof · cited by 26
- HNNExtension.ofstatement and proof · cited by 20
- HNNExtension.tstatement and proof · cited by 20
- HNNExtension.t_mul_ofproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- HNNExtension.NormalWord.prod_unitsSMulproof · cited by 1
- HNNExtension.induction_onproof · cited by 1
- HNNExtension.of_mul_inv_tproof · cited by 0