Theorems · Theorem · ring theory
Bialgebra.counitAlgHom_apply
∀ (R : Type u) (A : Type v) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Bialgebra R A] (a : A), (Bialgebra.counitAlgHom R A) a = CoalgebraStruct.counit a
- Defined in
- Mathlib.RingTheory.Bialgebra.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- AlgHomstatement · cited by 3,236
- Bialgebrastatement and proof · cited by 160
- CoalgebraStruct.counitstatement · cited by 108
- Bialgebra.counitAlgHomstatement and proof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.counitAlgHom_comp_mapRingHomproof · cited by 0
- MonoidAlgebra.counitAlgHom_comp_mapRingHomproof · cited by 0
- Bialgebra.counitAlgHom_comp_includeRightproof · cited by 0