Theorems · Theorem · ring theory

Finsupp.comul_single

∀ (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) (a : A),
  (CoalgebraStruct.comul fun₀ | i => a) =
    (TensorProduct.map (Finsupp.lsingle i) (Finsupp.lsingle i)) (CoalgebraStruct.comul a)

Defined in

Mathlib.RingTheory.Coalgebra.Basic

Cited by

5 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleCoalgebraStruct