Theorems · Theorem · ring theory

Pi.comul_comp_proj

∀ {R : Type u_1} {n : Type u_2} [inst : CommSemiring R] [inst_1 : Fintype n] [inst_2 : DecidableEq n] {A : n → Type u_3}
  [inst_3 : (i : n) → AddCommMonoid (A i)] [inst_4 : (i : n) → Module R (A i)]
  [inst_5 : (i : n) → CoalgebraStruct R (A i)] (i : n),
  CoalgebraStruct.comul ∘ₗ LinearMap.proj i =
    TensorProduct.map (LinearMap.proj i) (LinearMap.proj i) ∘ₗ CoalgebraStruct.comul

Defined in

Mathlib.RingTheory.Coalgebra.Basic

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringFintypeDecidableEqAddCommMonoidModuleCoalgebraStruct