Theorems · Theorem · group theory
Abelianization.hom_ext
∀ {G : Type u} [inst : Group G] {A : Type v} [inst_1 : Monoid A] (φ ψ : Abelianization G →* A),
φ.comp Abelianization.of = ψ.comp Abelianization.of → φ = ψSee note [partially-applied ext lemmas].
- Defined in
- Mathlib.GroupTheory.Abelianization.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- MonoidHom.compstatement and proof · cited by 469
- DFunLike.congr_funproof · cited by 288
- MonoidHom.extproof · cited by 109
- Abelianizationstatement and proof · cited by 32
- Abelianization.ofstatement and proof · cited by 20
- QuotientGroup.induction_onproof · cited by 17
Cited by4
Results whose statement or proof uses this declaration.
- Abelianization.map_compproof · cited by 1
- abelianizationCongr_transproof · cited by 0
- Abelianization.hom_ext_iffproof · cited by 0
- Abelianization.map_idproof · cited by 0