Theorems · Definition · group theory
AddSubmonoid.ofClass
{S : Type u_3} →
{M : Type u_4} → [inst : AddMonoid M] → [inst_1 : SetLike S M] → [AddSubmonoidClass S M] → S → AddSubmonoid MThe actual AddSubmonoid obtained from an element of a
AddSubmonoidClass
- Defined in
- Mathlib.Algebra.Group.Submonoid.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement · cited by 1,178
- SetLikestatement and proof · cited by 1,084
- AddSubmonoidClassstatement and proof · cited by 346
Cited by6
Results whose statement or proof uses this declaration.
- HomogeneousIdeal.irrelevant_eq_iSupstatement and proof · cited by 2
- HomogeneousIdeal.irrelevant_eq_closureproof · cited by 1
- HomogeneousIdeal.toIdeal_irrelevant_lestatement · cited by 1
- HomogeneousIdeal.toAddSubmonoid_irrelevant_lestatement and proof · cited by 1
- AddSubmonoid.coe_ofClassstatement and proof · cited by 0
- HomogeneousIdeal.irrelevant_lestatement · cited by 0