Theorems · Theorem · ring theory
HopfAlgebra.antipode_mul_distrib
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : CommSemiring A] [inst_2 : HopfAlgebra R A] (a b : A),
(HopfAlgebraStruct.antipode R) (a * b) = (HopfAlgebraStruct.antipode R) a * (HopfAlgebraStruct.antipode R) b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, 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.
- 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
- mul_commproof · cited by 2,262
- HopfAlgebrastatement and proof · cited by 59
- HopfAlgebraStruct.antipodestatement and proof · cited by 38
- HopfAlgebra.antipode_mul_antidistribproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- HopfAlgebra.antipodeAlgHomproof · cited by 5