Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.isoClosure_isLocal
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P : CategoryTheory.ObjectProperty C),
P.isoClosure.isLocal = P.isLocal- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 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.
Cites16
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Isoproof · cited by 3,963
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.cancel_monoproof · cited by 435
- CategoryTheory.Iso.hom_inv_idproof · cited by 264
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.GrothendieckTopology.W_inverseImage_whiskeringLeftproof · cited by 2