Theorems · Theorem · group theory
Monoid.Coprod.range_eq
∀ {G : Type u_1} {H : Type u_2} [inst : Group G] [inst_1 : Group H] {K : Type u_3} [inst_2 : Group K]
(f : Monoid.Coprod G H →* K), f.range = (f.comp Monoid.Coprod.inl).range ⊔ (f.comp Monoid.Coprod.inr).range- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MonoidHom.compstatement and proof · cited by 469
- MonoidHom.rangestatement and proof · cited by 314
- Subgroup.mapproof · cited by 301
- Monoid.Coprodstatement and proof · cited by 109
- Monoid.Coprod.inlstatement and proof · cited by 48
- Monoid.Coprod.inrstatement and proof · cited by 47
- MonoidHom.range_eq_mapproof · cited by 37
- Subgroup.map_supproof · cited by 7
- MonoidHom.map_rangeproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Monoid.Coprod.range_liftproof · cited by 0