Theorems · Definition · ring theory
GroupLike.val
{R : Type u_2} →
{A : Type u_3} →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid A] → [inst_2 : Module R A] → [inst_3 : Coalgebra R A] → GroupLike R A → AThe underlying element of a group-like element.
- Defined in
- Mathlib.RingTheory.Coalgebra.GroupLike
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 4 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.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Coalgebrastatement and proof · cited by 112
- GroupLikestatement and proof · cited by 19
Cited by20
Results whose statement or proof uses this declaration.
- GroupLike.toUnitsproof · cited by 3
- GroupLike.valEquivproof · cited by 3
- GroupLike.extstatement and proof · cited by 1
- GroupLike.isGroupLikeElem_valstatement · cited by 1
- GroupLike.valMonoidHomproof · cited by 1
- GroupLike.val_injectivestatement and proof · cited by 1
- MonoidAlgebra.liftGroupLikeBialgHomproof · cited by 1
- GroupLike.ext_iffstatement and proof · cited by 0
- GroupLike.valEquiv_apply_coestatement · cited by 0
- GroupLike.valMonoidHom_applystatement · cited by 0
- GroupLike.val_injstatement · cited by 0
- GroupLike.val_invstatement · cited by 0