Theorems · Inductive type · category theory
CategoryTheory.Mat_
Type u₁ → Type (max 1 u₁)
An object in Mat_ C is a finite tuple of objects in C.
- Defined in
- Mathlib.CategoryTheory.Preadditive.Mat
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by69
Results whose statement or proof uses this declaration.
- CategoryTheory.Mat_.ιstatement and proof · cited by 29
- CategoryTheory.Mat_.Xstatement and proof · cited by 24
- CategoryTheory.Mat_.embeddingstatement · cited by 17
- CategoryTheory.Functor.mapMat_statement and proof · cited by 9
- CategoryTheory.Mat_.additiveObjIsoBiproductstatement and proof · cited by 8
- CategoryTheory.Mat_.isoBiproductEmbeddingstatement and proof · cited by 6
- CategoryTheory.Mat_.liftstatement and proof · cited by 6
- CategoryTheory.Functor.mapMatCompstatement and proof · cited by 2
- CategoryTheory.Functor.mapMatIdstatement and proof · cited by 2
- CategoryTheory.Mat.equivalenceSingleObjInversestatement and proof · cited by 2
- CategoryTheory.Mat_.additiveObjIsoBiproduct_hom_πstatement and proof · cited by 2
- CategoryTheory.Mat_.additiveObjIsoBiproduct_naturalitystatement and proof · cited by 2