Theorems · Definition · category theory

CategoryTheory.MorphismProperty.IsStableUnderTransfiniteCompositionOfShape.recOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {W : CategoryTheory.MorphismProperty C} →
      {J : Type w} →
        [inst_1 : LinearOrder J] →
          [inst_2 : SuccOrder J] →
            [inst_3 : OrderBot J] →
              [inst_4 : WellFoundedLT J] →
                {motive : W.IsStableUnderTransfiniteCompositionOfShape J → Sort u_1} →
                  (t : W.IsStableUnderTransfiniteCompositionOfShape J) →
                    ((le : W.transfiniteCompositionsOfShape J ≤ W) → motive ⋯) → motive t

Defined in

Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition

Cited by

0 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryLinearOrderSuccOrderOrderBotWellFoundedLT