Theorems · Theorem · ring theory

DFinsupp.comul_single

∀ (R : Type u) (ι : Type v) (A : ι → Type w) [inst : DecidableEq ι] [inst_1 : CommSemiring R]
  [inst_2 : (i : ι) → AddCommMonoid (A i)] [inst_3 : (i : ι) → Module R (A i)]
  [inst_4 : (i : ι) → CoalgebraStruct R (A i)] (i : ι) (a : A i),
  (CoalgebraStruct.comul fun₀ | i => a) =
    (TensorProduct.map (DFinsupp.lsingle i) (DFinsupp.lsingle i)) (CoalgebraStruct.comul a)

Defined in

Mathlib.RingTheory.Coalgebra.Basic

Cited by

3 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqCommSemiringAddCommMonoidModuleCoalgebraStruct