Theorems · Theorem · category theory
CategoryTheory.Subfunctor.iInf_obj
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F : CategoryTheory.Functor C (Type w)} {ι : Sort u_1}
(S : ι → CategoryTheory.Subfunctor F) (U : C), (⨅ i, S i).obj U = ⋂ i, (S i).obj U- Defined in
- Mathlib.CategoryTheory.Subfunctor.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Set.rangeproof · cited by 4,705
- iInfstatement · cited by 1,690
- Set.iInterstatement and proof · cited by 1,084
- CategoryTheory.Subfunctor.objstatement and proof · cited by 227
- Set.iInter_congr_Propproof · cited by 170
- CategoryTheory.Subfunctorstatement and proof · cited by 112
- Set.iInter_existsproof · cited by 44
- Set.sInter_imageproof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.preimage_iInfproof · cited by 0