Theorems · Theorem · category theory
CategoryTheory.Idempotents.Karoubi.hom_ext
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {P Q : CategoryTheory.Idempotents.Karoubi C}
(f g : P ⟶ Q), f.f = g.f → f = g- Cited by
- 6 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Idempotents.Karoubistatement and proof · cited by 233
- CategoryTheory.Idempotents.Karoubi.Xstatement · cited by 163
- CategoryTheory.Idempotents.Karoubi.Hom.fstatement and proof · cited by 121
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Idempotents.Karoubi.decompIdproof · cited by 2
- AlgebraicTopology.DoldKan.N₁Γ₀_appproof · cited by 2
- AlgebraicTopology.DoldKan.identity_N₂_objectwiseproof · cited by 1
- CategoryTheory.Idempotents.Karoubi.decomp_pproof · cited by 0
- AlgebraicTopology.DoldKan.compatibility_N₂_N₁_karoubiproof · cited by 0