Theorems · Theorem · category theory

CategoryTheory.Limits.hasLimitsOfSizeShrink

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C]
  [CategoryTheory.Limits.HasLimitsOfSize.{max v₁ v₂, max u₁ u₂, v, u} C],
  CategoryTheory.Limits.HasLimitsOfSize.{v₁, u₁, v, u} C

hasLimitsOfSizeShrink.{v u} C tries to obtain HasLimitsOfSize.{v u} C from some other HasLimitsOfSize C.

Defined in: Mathlib.CategoryTheory.Limits.HasLimits
Cited by: 2 results in Mathlib
Foundations: Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasLimitsOfSize

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Cites3

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.Limits.HasLimitsOfSizestatement and proof · cited by 71
CategoryTheory.Limits.hasLimitsOfSizeOfUnivLEproof · cited by 1

Cited by2

Results whose statement or proof uses this declaration.

CategoryTheory.Presheaf.isSheaf_iff_isSheaf_forgetproof · cited by 2
CondensedMod.epi_iff_surjective_on_stoneanproof · cited by 0