Theorems · Theorem · category theory
CategoryTheory.Mat.hom_ext
∀ {R : Type u} [inst : Semiring R] {X Y : CategoryTheory.Mat R} (f g : X ⟶ Y),
(∀ (i : X.obj) (j : Y.obj), f i j = g i j) → f = g- Defined in
- Mathlib.CategoryTheory.Preadditive.Mat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Semiringstatement and proof · cited by 13,802
- Finitestatement · cited by 3,029
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- Matrix.ext_iffproof · cited by 18
- CategoryTheory.Matstatement and proof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Mat.hom_ext_iffproof · cited by 0