Theorems · Theorem · category theory
SimplexCategory.isIso_of_bijective
∀ {x y : SimplexCategory} {f : x ⟶ y},
Function.Bijective (SimplexCategory.Hom.toOrderHom f).toFun → CategoryTheory.IsIso f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- SimplexCategorystatement and proof · cited by 2,204
- CategoryTheory.IsIsostatement · cited by 1,156
- Function.Bijectivestatement and proof · cited by 863
- SimplexCategory.lenstatement · cited by 542
- CategoryTheory.forgetproof · cited by 418
- SimplexCategory.Hom.toOrderHomstatement and proof · cited by 111
- OrderHom.toFunstatement and proof · cited by 45
- CategoryTheory.isIso_of_reflects_isoproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- SimplexCategory.isIso_iff_of_epiproof · cited by 2
- SimplexCategory.isIso_iff_of_monoproof · cited by 1