Theorems · Inductive type · group theory
AddSubgroupClass
(S : Type u_3) → (G : outParam (Type u_4)) → [SubNegMonoid G] → [SetLike S G] → Prop
AddSubgroupClass S G states S is a type of subsets s ⊆ G that are
additive subgroups of G.
- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 240 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- SubNegMonoidSetLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement · cited by 1,084
- SubNegMonoidstatement · cited by 79
Cited by307
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Projstatement and proof · cited by 63
- sub_memstatement and proof · cited by 40
- AlgebraicGeometry.Proj.basicOpenstatement and proof · cited by 38
- AlgebraicGeometry.Proj.awayιstatement and proof · cited by 30
- HomogeneousLocalization.awayMapstatement and proof · cited by 27
- AlgebraicGeometry.Proj.toLocallyRingedSpacestatement and proof · cited by 26
- AlgebraicGeometry.ProjectiveSpectrum.Proj.structureSheafstatement and proof · cited by 21
- AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.isLocallyFractionstatement and proof · cited by 20
- zsmul_memstatement and proof · cited by 14
- AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpecstatement and proof · cited by 13
- AlgebraicGeometry.Proj.pullbackAwayιIsostatement and proof · cited by 12
- HomogeneousLocalization.Away.mkstatement and proof · cited by 11
Showing the 200 most cited of 307.