Theorems · Theorem · ring theory

AddMonoidAlgebra.counit_single

∀ {R : Type u_1} [inst : CommSemiring R] {A : Type u_2} [inst_1 : Semiring A] {X : Type u_3} [inst_2 : Module R A]
  [inst_3 : Coalgebra R A] (x : X) (a : A),
  CoalgebraStruct.counit (AddMonoidAlgebra.single x a) = CoalgebraStruct.counit a

Defined in

Mathlib.RingTheory.Coalgebra.MonoidAlgebra

Cited by

5 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringModuleCoalgebra