Theorems · Theorem · category theory
CategoryTheory.Limits.hasColimitsOfShape_of_hasLimitsOfShape_op
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {J : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} J]
[CategoryTheory.Limits.HasLimitsOfShape Jᵒᵖ Cᵒᵖ], CategoryTheory.Limits.HasColimitsOfShape J C- Defined in
- Mathlib.CategoryTheory.Limits.Opposites
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Functorproof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Limits.HasColimitsOfShapestatement · cited by 308
- CategoryTheory.Limits.HasLimitsOfShapestatement and proof · cited by 223
- CategoryTheory.Limits.hasColimit_of_hasLimit_opproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.hasLimitsOfShape_opposite_opposite_iffproof · cited by 2
- CategoryTheory.Limits.hasCoproductsOfShape_of_oppositeproof · cited by 2
- CategoryTheory.Limits.hasColimits_of_hasLimits_opproof · cited by 1
- CategoryTheory.Limits.hasFiniteLimits_opposite_iffproof · cited by 0
- CategoryTheory.Limits.has_filtered_colimits_of_has_cofiltered_limits_opproof · cited by 0
- CategoryTheory.Limits.hasLimitsOfShape_opposite_iffproof · cited by 0