Theorems · Theorem · group theory
HNNExtension.hom_ext
∀ {G : Type u_1} [inst : Group G] {A B : Subgroup G} {φ : ↥A ≃* ↥B} {M : Type u_3} [inst_1 : Monoid M]
{f g : HNNExtension G A B φ →* M},
f.comp HNNExtension.of = g.comp HNNExtension.of → f HNNExtension.t = g HNNExtension.t → f = g- Defined in
- Mathlib.GroupTheory.HNNExtension
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MulEquivstatement and proof · cited by 1,142
- MonoidHom.compstatement and proof · cited by 469
- HNNExtensionstatement and proof · cited by 26
- HNNExtension.ofstatement and proof · cited by 20
- HNNExtension.tstatement and proof · cited by 20
- Monoid.Coprod.hom_extproof · cited by 14
- Con.mk'_surjectiveproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- HNNExtension.induction_onproof · cited by 1
- HNNExtension.hom_ext_iffproof · cited by 0