Theorems · Theorem · ring theory
GroupLike.val_inj
∀ {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] {a b : GroupLike R A}, ↑a = ↑b ↔ a = b- Defined in
- Mathlib.RingTheory.Coalgebra.GroupLike
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- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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Cites7
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
- GroupLike.valstatement · cited by 16
- GroupLike.val_injectiveproof · cited by 1
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