Theorems · Theorem · ring theory
HopfAlgebra.antipodeAlgHom_apply
∀ (R : Type u_1) (A : Type u_2) [inst : CommSemiring R] [inst_1 : CommSemiring A] [inst_2 : HopfAlgebra R A] (a : A), (HopfAlgebra.antipodeAlgHom R A) a = (HopfAlgebraStruct.antipode R) a
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- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- AlgHomstatement · cited by 3,236
- HopfAlgebrastatement and proof · cited by 59
- HopfAlgebraStruct.antipodestatement · cited by 38
- HopfAlgebra.antipodeAlgHomstatement and proof · cited by 5
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