Theorems · Theorem · category theory
CategoryTheory.Projective.of_iso
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P Q : C} (i : P ≅ Q),
CategoryTheory.Projective P → CategoryTheory.Projective Q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.Isostatement and proof · cited by 3,963
- CategoryTheory.Epiproof · cited by 688
- CategoryTheory.Iso.inv_hom_id_assocproof · cited by 275
- CategoryTheory.Projectivestatement and proof · cited by 78
- CategoryTheory.Projective.factorsproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Projective.iso_iffproof · cited by 0