Theorems · Theorem · ring theory

CoalgHomClass.map_comp_comul_apply

∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} {F : Type u_4} [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] [inst_7 : FunLike F A B] [inst_8 : CoalgHomClass F R A B] (f : F) (x : A),
  (TensorProduct.map ↑f ↑f) (CoalgebraStruct.comul x) = CoalgebraStruct.comul (f x)

Defined in

Mathlib.RingTheory.Coalgebra.Hom

Cited by

1 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModuleCoalgebraStructCoalgebraStructFunLikeCoalgHomClass