Theorems · Theorem · group theory
AddSubgroup.subtype_comp_inclusion
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G} (hH : H ≤ K),
K.subtype.comp (AddSubgroup.inclusion hH) = H.subtype- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- AddMonoidHom.compstatement · cited by 339
- AddSubgroup.subtypestatement · cited by 82
- AddSubgroup.inclusionstatement · cited by 15
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.