Theorems · Theorem · ring theory
Finsupp.comul_comp_lsingle
∀ (R : Type u) (ι : Type v) (A : Type w) [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A]
[inst_3 : CoalgebraStruct R A] (i : ι),
CoalgebraStruct.comul ∘ₗ Finsupp.lsingle i =
TensorProduct.map (Finsupp.lsingle i) (Finsupp.lsingle i) ∘ₗ CoalgebraStruct.comul- Defined in
- Mathlib.RingTheory.Coalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Finsuppstatement · cited by 5,255
- TensorProductstatement · cited by 2,545
- LinearMap.compstatement · cited by 1,642
- LinearMap.extproof · cited by 844
- TensorProduct.mapstatement and proof · cited by 250
- CoalgebraStructstatement and proof · cited by 230
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.