Theorems · Theorem · category theory
ModuleCat.image.lift_fac
∀ {R : Type u} [inst : Ring R] {G H : ModuleCat R} {f : G ⟶ H} (F' : CategoryTheory.Limits.MonoFactorisation f),
CategoryTheory.CategoryStruct.comp (ModuleCat.image.lift F') F'.m = ModuleCat.image.ι f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- Ringstatement and proof · cited by 7,463
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierproof · cited by 997
- LinearMap.extproof · cited by 844
- ModuleCat.Hom.homproof · cited by 341
- ModuleCat.hom_extproof · cited by 84
- CategoryTheory.Limits.MonoFactorisation.Istatement · cited by 83
- CategoryTheory.Limits.MonoFactorisationstatement and proof · cited by 69
Cited by1
Results whose statement or proof uses this declaration.
- ModuleCat.isImageproof · cited by 1