Theorems · Theorem · category theory
CategoryTheory.Functor.IsDenseSubsite.isCoverDense
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {D : Type u_2}
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] (J : CategoryTheory.GrothendieckTopology C)
(K : CategoryTheory.GrothendieckTopology D) (G : CategoryTheory.Functor C D)
[CategoryTheory.Functor.IsDenseSubsite J K G], G.IsCoverDense K- Cited by
- 5 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Functor.IsDenseSubsitestatement and proof · cited by 87
- CategoryTheory.Functor.IsCoverDensestatement · cited by 60
- CategoryTheory.Functor.IsDenseSubsite.isCoverDense'proof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.OneHypercoverDenseData.mem₁proof · cited by 0
- CategoryTheory.Functor.IsOneHypercoverDense.of_hasPullbacksproof · cited by 0
- CategoryTheory.Functor.OneHypercoverDenseData.sieve_memproof · cited by 0