Theorems · Theorem · category theory
CategoryTheory.Limits.preservesLimitsOfSize_shrink
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(F : CategoryTheory.Functor C D)
[CategoryTheory.Limits.PreservesLimitsOfSize.{max w w₂, max w' w₂', v₁, v₂, u₁, u₂} F],
CategoryTheory.Limits.PreservesLimitsOfSize.{w, w', v₁, v₂, u₁, u₂} FPreservesLimitsOfSize_shrink.{w w'} F tries to obtain PreservesLimitsOfSize.{w w'} F
from some other PreservesLimitsOfSize F.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Limits.PreservesLimitsOfSizestatement and proof · cited by 51
- CategoryTheory.Limits.preservesLimitsOfSize_of_univLEproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Presheaf.isSheaf_iff_isSheaf_forgetproof · cited by 2
- CategoryTheory.Limits.preservesSmallestLimits_of_preservesLimitsproof · cited by 1