Theorems · Inductive type · ring theory

CoalgHomClass

(F : Type u_1) →
  (R : outParam (Type u_2)) →
    (A : outParam (Type u_3)) →
      (B : outParam (Type u_4)) →
        [inst : CommSemiring R] →
          [inst_1 : AddCommMonoid A] →
            [inst_2 : Module R A] →
              [inst_3 : AddCommMonoid B] →
                [inst_4 : Module R B] → [CoalgebraStruct R A] → [CoalgebraStruct R B] → [FunLike F A B] → Prop

CoalgHomClass F R A B asserts F is a type of bundled coalgebra homomorphisms from A to B.

Defined in

Mathlib.RingTheory.Coalgebra.Hom

Cited by

10 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModuleCoalgebraStructCoalgebraStructFunLike