Theorems · Theorem · group theory
HNNExtension.t_mul_of
∀ {G : Type u_1} [inst : Group G] {A B : Subgroup G} {φ : ↥A ≃* ↥B} (a : ↥A),
HNNExtension.t * HNNExtension.of ↑a = HNNExtension.of ↑(φ a) * HNNExtension.t- Defined in
- Mathlib.GroupTheory.HNNExtension
- Cited by
- 2 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.
Cites15
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
- Multiplicativeproof · cited by 875
- Multiplicative.ofAddproof · cited by 237
- Monoid.Coprodproof · cited by 109
- Monoid.Coprod.inlproof · cited by 48
- Monoid.Coprod.inrproof · cited by 47
- HNNExtensionstatement · cited by 26
- HNNExtension.ofstatement · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- HNNExtension.equiv_eq_conjproof · cited by 3
- HNNExtension.of_mul_tproof · cited by 1