Theorems · Definition · ring theory
groupLikeSubmonoid
(R : Type u_1) → (A : Type u_2) → [inst : CommSemiring R] → [inst_1 : Semiring A] → [Bialgebra R A] → Submonoid A
The group-like elements form a submonoid.
- Defined in
- Mathlib.RingTheory.Bialgebra.GroupLike
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- Set.ofPredproof · cited by 6,101
- Submonoidstatement · cited by 3,086
- Bialgebrastatement and proof · cited by 160
- IsGroupLikeElemproof · cited by 39
- IsGroupLikeElem.mulproof · cited by 0
- IsGroupLikeElem.oneproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- IsGroupLikeElem.powproof · cited by 0