Theorems · Theorem · ring theory
GroupLike.val_inv
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : HopfAlgebra R A]
(a : GroupLike R A), ↑a⁻¹ = (HopfAlgebraStruct.antipode R) ↑a- Defined in
- Mathlib.RingTheory.HopfAlgebra.GroupLike
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- HopfAlgebrastatement and proof · cited by 59
- HopfAlgebraStruct.antipodestatement · cited by 38
- GroupLikestatement and proof · cited by 19
- GroupLike.valstatement · cited by 16
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