Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.colimitsOfShape_le_of_final

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (W : CategoryTheory.MorphismProperty C) {J : Type u_1}
  [inst_1 : CategoryTheory.Category.{v_1, u_1} J] {J' : Type u_2} [inst_2 : CategoryTheory.Category.{v_2, u_2} J']
  (F : CategoryTheory.Functor J J') [F.Final], W.colimitsOfShape J' ≤ W.colimitsOfShape J

Defined in: Mathlib.CategoryTheory.MorphismProperty.Limits
Cited by: 1 results in Mathlib
Foundations: Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Category CategoryTheory.Functor.Final

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

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CategoryTheory.Categorystatement and proof · cited by 32,673
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Equiv.symmproof · cited by 3,681
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.Limits.Cocone.ptproof · cited by 1,354
CategoryTheory.Limits.IsColimitproof · cited by 773

Cited by1

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CategoryTheory.MorphismProperty.colimitsOfShape_eq_of_equivalenceproof · cited by 1