Theorems · Theorem · category theory

CategoryTheory.TransfiniteCompositionOfShape.map_isoBot

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} D]
  {J : Type w} [inst_2 : LinearOrder J] [inst_3 : OrderBot J] {X Y : C} {f : X ⟶ Y} [inst_4 : SuccOrder J]
  [inst_5 : WellFoundedLT J] (c : CategoryTheory.TransfiniteCompositionOfShape J f) (F : CategoryTheory.Functor C D)
  [inst_6 : CategoryTheory.Limits.PreservesWellOrderContinuousOfShape J F]
  [inst_7 : CategoryTheory.Limits.PreservesColimitsOfShape J F], (c.map F).isoBot = F.mapIso c.isoBot

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Preorder.TransfiniteCompositionOfShape

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryLinearOrderOrderBotSuccOrderWellFoundedLTCategoryTheory.Limits.PreservesWellOrderContinuousOfShapeCategoryTheory.Limits.PreservesColimitsOfShape