Theorems · Theorem · ring theory

Coalgebra.Repr.induced_right

∀ {R : Type u} {A : Type v} {B : Type w} {ι : Type u_1} [inst : CommSemiring R] [inst_1 : AddCommMonoid A]
  [inst_2 : AddCommMonoid B] [inst_3 : Module R A] [inst_4 : Module R B] [inst_5 : Coalgebra R A]
  [inst_6 : Coalgebra R B] {a : A} (repr : Coalgebra.Repr R a ι) {F : Type u_2} [inst_7 : FunLike F A B]
  [inst_8 : CoalgHomClass F R A B] (φ : F) (a_1 : ι), (repr.induced φ).right a_1 = (⇑φ ∘ repr.right) a_1

Defined in

Mathlib.RingTheory.Coalgebra.Hom

Cited by

0 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidModuleModuleCoalgebraCoalgebraFunLikeCoalgHomClass