Theorems · Theorem · ring theory
Finsupp.comul_comp_lapply
∀ (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.lapply i =
TensorProduct.map (Finsupp.lapply i) (Finsupp.lapply 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
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Cites27
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
- map_zeroproof · cited by 1,614
- eq_or_neproof · cited by 1,117
- Finsupp.singleproof · cited by 943
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