Theorems · Definition · category theory
CategoryTheory.Iso.refl
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → (X : C) → X ≅ XIdentity isomorphism.
- Defined in
- Mathlib.CategoryTheory.Iso
- Cited by
- 727 results in Mathlib
- Foundations
- Depth 15 from the axioms, rests on 89 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- CategoryTheory.Isostatement · cited by 3,963
Cited by1,602
Results whose statement or proof uses this declaration.
- CategoryTheory.opOpEquivalenceproof · cited by 34
- CategoryTheory.prod.associativityproof · cited by 32
- HomologicalComplex.natIsoSc'proof · cited by 31
- CategoryTheory.Limits.coproductIsCoproductproof · cited by 31
- AlgebraicTopology.DoldKan.Γ₀.splittingproof · cited by 31
- CategoryTheory.ShortComplex.LeftHomologyData.cyclesIsoproof · cited by 28
- CategoryTheory.ShortComplex.leftHomologyIsoproof · cited by 27
- CategoryTheory.Iso.refl_transstatement · cited by 27
- CategoryTheory.WithTerminal.equivCommaproof · cited by 26
- CategoryTheory.ShrinkHoms.equivalenceproof · cited by 26
- CategoryTheory.Limits.CategoricalPullback.functorEquivproof · cited by 25
- CategoryTheory.ShortComplex.LeftHomologyData.mapproof · cited by 25
Showing the 200 most cited of 1,602.