Theorems · Theorem · ring theory
GroupLike.val_injective
∀ {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], Function.Injective GroupLike.val- Defined in
- Mathlib.RingTheory.Coalgebra.GroupLike
- Cited by
- 1 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.
Cites9
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
- IsGroupLikeElemproof · cited by 39
- GroupLikestatement and proof · cited by 19
- GroupLike.valstatement and proof · cited by 16
- GroupLike.casesOnproof · cited by 1
- GroupLike.isGroupLikeElem_valproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- GroupLike.val_injproof · cited by 0