Theorems · Definition · category theory
CategoryTheory.Mat.equivalenceSingleObjInverse
(R : Type) → [inst : Ring R] → CategoryTheory.Functor (CategoryTheory.Mat_ (CategoryTheory.SingleObj Rᵐᵒᵖ)) (CategoryTheory.Mat R)
Auxiliary definition for CategoryTheory.Mat.equivalenceSingleObj.
- Defined in
- Mathlib.CategoryTheory.Preadditive.Mat
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Ringstatement and proof · cited by 7,463
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.unopproof · cited by 268
- CategoryTheory.SingleObjstatement and proof · cited by 88
- CategoryTheory.Mat_statement and proof · cited by 44
- CategoryTheory.Mat_.ιproof · cited by 29
- FintypeCat.ofproof · cited by 26
- CategoryTheory.Matstatement · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Mat.equivalenceSingleObjproof · cited by 0
- CategoryTheory.Mat.equivalenceSingleObjInverse_mapstatement and proof · cited by 0
- CategoryTheory.Mat.equivalenceSingleObjInverse_obj_objstatement and proof · cited by 0