Theorems · Definition · group theory
Subgroup.ofClass
{S : Type u_3} → {G : Type u_4} → [inst : Group G] → [inst_1 : SetLike S G] → [SubgroupClass S G] → S → Subgroup GThe actual Subgroup obtained from an element of a SubgroupClass
- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- GroupSetLikeSubgroupClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- SetLikestatement and proof · cited by 1,084
- SubgroupClassstatement and proof · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.coe_ofClassstatement and proof · cited by 0