Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.ofObj_apply
∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] {ι : Type u'} (X : ι → C) (i : ι),
CategoryTheory.ObjectProperty.ofObj X (X i)- 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.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.CategoryStructstatement and proof · cited by 343
- CategoryTheory.ObjectProperty.ofObjstatement · cited by 37
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Presheaf.isSeparatingproof · cited by 3
- CategoryTheory.ObjectProperty.ofObj_subtypeValproof · cited by 1
- HomologicalComplex.isSeparating_separatingFamilyproof · cited by 1
- CategoryTheory.Sheaf.isSeparatingproof · cited by 1
- CategoryTheory.Presheaf.isStrongGeneratorproof · cited by 0