Theorems · Theorem · ring theory
Bialgebra.counitAlgHom_comp_includeRight
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : CommSemiring A] [inst_2 : Semiring B]
[inst_3 : Algebra R A] [inst_4 : Bialgebra R B],
(AlgHom.restrictScalars R (Bialgebra.counitAlgHom A (TensorProduct R A B))).comp Algebra.TensorProduct.includeRight =
(Algebra.ofId R A).comp (Bialgebra.counitAlgHom R B)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- TensorProductstatement and proof · cited by 2,545
- TensorProduct.tmulproof · cited by 1,182
- AlgHom.compstatement · cited by 501
- AlgHom.extproof · cited by 170
- Algebra.ofIdstatement and proof · cited by 166
- Algebra.TensorProduct.includeRightstatement · cited by 165
- Bialgebrastatement and proof · cited by 160
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