Theorems · Inductive type · category theory

CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    CategoryTheory.MorphismProperty C →
      (J : Type w) →
        [inst_1 : LinearOrder J] →
          [SuccOrder J] → [OrderBot J] → [WellFoundedLT J] → {X Y : C} → (X ⟶ Y) → Type (max (max u v) w)

Structure expressing that a morphism f : X ⟶ Y in a category C is a transfinite composition of shape J of morphisms in W : MorphismProperty C.

Defined in

Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition

Cited by

20 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext

Assumes

CategoryTheory.CategoryLinearOrderSuccOrderOrderBotWellFoundedLT