Theorems · Theorem · category theory
CategoryTheory.isUnit_iff_isIso
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X : C} (f : CategoryTheory.End X),
IsUnit f ↔ CategoryTheory.IsIso f- Defined in
- Mathlib.CategoryTheory.Endomorphism
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Classical.choice
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- IsUnitstatement and proof · cited by 1,602
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invproof · cited by 467
- IsUnit.unitproof · cited by 252
- CategoryTheory.Endstatement and proof · cited by 169
- CategoryTheory.IsIso.hom_inv_idproof · cited by 97
- CategoryTheory.IsIso.inv_hom_idproof · cited by 88
- Units.invproof · cited by 35
- Units.inv_valproof · cited by 8
- Units.val_invproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.finrank_endomorphism_eq_oneproof · cited by 1