Theorems · Theorem · category theory
CategoryTheory.GrothendieckTopology.copy_eq
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.GrothendieckTopology C}
{s : (X : C) → Set (CategoryTheory.Sieve X)} {h : J.sieves = s}, J.copy s h = J- Cited by
- 2 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Sievestatement and proof · cited by 552
- CategoryTheory.GrothendieckTopology.sievesstatement and proof · cited by 13
- CategoryTheory.GrothendieckTopology.extproof · cited by 12
- CategoryTheory.GrothendieckTopology.copystatement · cited by 3
Cited by2
Results whose statement or proof uses this declaration.