Theorems · Theorem · ring theory
Coalgebra.counitCoalgHom_apply
∀ (R : Type u) (A : Type v) [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A] [inst_3 : Coalgebra R A] (x : A), (Coalgebra.counitCoalgHom R A) x = CoalgebraStruct.counit x
- Defined in
- Mathlib.RingTheory.Coalgebra.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Coalgebrastatement and proof · cited by 112
- CoalgebraStruct.counitstatement · cited by 108
- CoalgHomstatement · cited by 105
- Coalgebra.counitCoalgHomstatement · cited by 3
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