Theorems · Theorem · ring theory

CoalgHom.counit_comp

∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A]
  [inst_3 : AddCommMonoid B] [inst_4 : Module R B] [inst_5 : CoalgebraStruct R A] [inst_6 : CoalgebraStruct R B]
  (self : A →ₗc[R] B), CoalgebraStruct.counit ∘ₗ self.toLinearMap = CoalgebraStruct.counit

Defined in

Mathlib.RingTheory.Coalgebra.Hom

Cited by

0 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModuleCoalgebraStructCoalgebraStruct