Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.isStableUnderTransfiniteCompositionOfShape_iff_of_orderIso

∀ {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] {J' : Type w'}
  [inst_5 : LinearOrder J'] [inst_6 : SuccOrder J'] [inst_7 : OrderBot J'] [inst_8 : WellFoundedLT J'] (e : J ≃o J'),
  W.IsStableUnderTransfiniteCompositionOfShape J ↔ W.IsStableUnderTransfiniteCompositionOfShape J'

Defined in

Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition

Cited by

1 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryLinearOrderSuccOrderOrderBotWellFoundedLTLinearOrderSuccOrderOrderBotWellFoundedLT