Theorems · Definition · ring theory
CoalgHom.toLinearMap
{R : Type u_1} →
{A : Type u_2} →
{B : Type u_3} →
[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] → (A →ₗc[R] B) → A →ₗ[R] B- Defined in
- Mathlib.RingTheory.Coalgebra.Hom
- Cited by
- 36 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- CoalgebraStructstatement and proof · cited by 230
- CoalgHomstatement and proof · cited by 105
Cited by58
Results whose statement or proof uses this declaration.
- BialgHom.toAlgHomproof · cited by 38
- CoalgEquiv.toLinearEquivproof · cited by 13
- BialgEquiv.toAlgEquivproof · cited by 12
- Coalgebra.TensorProduct.mapproof · cited by 4
- CoalgEquiv.toEquiv_injectiveproof · cited by 3
- BialgEquiv.toEquiv_injectiveproof · cited by 2
- CoalgEquiv.mk.injstatement and proof · cited by 1
- CoalgEquiv.mk.injEqstatement and proof · cited by 1
- CoalgEquiv.mk.noConfusionstatement and proof · cited by 1
- BialgEquiv.mk.injstatement and proof · cited by 1
- BialgEquiv.mk.injEqstatement and proof · cited by 1
- BialgEquiv.mk.noConfusionstatement and proof · cited by 1