Theorems · Theorem · category theory
SimplexCategory.eq_id_of_isIso
∀ {x : SimplexCategory} (f : x ⟶ x) [CategoryTheory.IsIso f], f = CategoryTheory.CategoryStruct.id x- Cited by
- 4 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.IsIso
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Isoproof · cited by 3,963
- SimplexCategorystatement and proof · cited by 2,204
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.asIsoproof · cited by 177
- SimplexCategory.iso_eq_iso_reflproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- SimplexCategory.eq_id_of_monoproof · cited by 7
- SimplexCategory.eq_id_of_epiproof · cited by 3
- SimplexCategory.image_ι_eqproof · cited by 2
- SSet.S.mk_map_eq_iff_of_monoproof · cited by 0