Theorems · Theorem · ring theory
CoalgHomClass.counit_comp
∀ {F : Type u_1} {R : outParam (Type u_2)} {A : outParam (Type u_3)} {B : outParam (Type u_4)} {inst : CommSemiring R}
{inst_1 : AddCommMonoid A} {inst_2 : Module R A} {inst_3 : AddCommMonoid B} {inst_4 : Module R B}
{inst_5 : CoalgebraStruct R A} {inst_6 : CoalgebraStruct R B} {inst_7 : FunLike F A B} [self : CoalgHomClass F R A B]
(f : F), CoalgebraStruct.counit ∘ₗ ↑f = CoalgebraStruct.counit- Defined in
- Mathlib.RingTheory.Coalgebra.Hom
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- CoalgHomClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- FunLikestatement and proof · cited by 2,560
- LinearMap.compstatement · cited by 1,642
- CoalgebraStructstatement and proof · cited by 230
- CoalgebraStruct.counitstatement · cited by 108
- SemilinearMapClass.semilinearMapstatement · cited by 80
- CoalgHomClassstatement and proof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- CoalgHomClass.toCoalgHomproof · cited by 23
- CoalgHomClass.counit_comp_applyproof · cited by 2
- BialgHom.counitAlgHom_compproof · cited by 0
- BialgHomClass.counitAlgHom_compproof · cited by 0