Theorems · Theorem · category theory

CategoryTheory.TransfiniteCompositionOfShape.ofArrowIso_isoBot

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : Type w} [inst_1 : LinearOrder J] [inst_2 : OrderBot J]
  {X Y : C} {f : X ⟶ Y} [inst_3 : SuccOrder J] [inst_4 : WellFoundedLT J]
  (c : CategoryTheory.TransfiniteCompositionOfShape J f) {X' Y' : C} {f' : X' ⟶ Y'}
  (e : CategoryTheory.Arrow.mk f ≅ CategoryTheory.Arrow.mk f'),
  (c.ofArrowIso e).isoBot = c.isoBot ≪≫ CategoryTheory.Arrow.leftFunc.mapIso e

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Preorder.TransfiniteCompositionOfShape

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryLinearOrderOrderBotSuccOrderWellFoundedLT