Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.congr_preservesColimitsOfShape

∀ (J : Type u_1) (C : Type u_3) {K : Type u_5} {K' : Type u_6} [inst : CategoryTheory.Category.{v_1, u_5} K]
  [inst_1 : CategoryTheory.Category.{v_2, u_6} K'] [inst_2 : CategoryTheory.Category.{v_3, u_1} J]
  [inst_3 : CategoryTheory.Category.{v_5, u_3} C] (e : K ≌ K'),
  CategoryTheory.ObjectProperty.preservesColimitsOfShape K = CategoryTheory.ObjectProperty.preservesColimitsOfShape K'

Defined in: Mathlib.CategoryTheory.ObjectProperty.FunctorCategory.PreservesLimits
Cited by: 0 results in Mathlib
Foundations: Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Category CategoryTheory.Category

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.ObjectPropertystatement · cited by 798
CategoryTheory.Equivalencestatement and proof · cited by 601
CategoryTheory.Limits.PreservesColimitsOfShapeproof · cited by 222
CategoryTheory.Equivalence.symmproof · cited by 195
CategoryTheory.Limits.preservesColimitsOfShape_of_equivproof · cited by 7
CategoryTheory.ObjectProperty.preservesColimitsOfShapestatement · cited by 3

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