Theorems · Theorem · category theory
SimplexCategory.len_eq_of_isIso
∀ {x y : SimplexCategory} (f : x ⟶ y) [CategoryTheory.IsIso f], x.len = y.len- Cited by
- 3 results in Mathlib
- Foundations
- Depth 83 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.
Cites7
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
- le_antisymmproof · cited by 2,068
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- SimplexCategory.lenstatement · cited by 542
- SimplexCategory.len_le_of_epiproof · cited by 9
- SimplexCategory.len_le_of_monoproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- SimplexCategory.isIso_iff_of_epiproof · cited by 2
- SimplexCategory.eq_of_isIsoproof · cited by 1
- SimplexCategory.isIso_iff_of_monoproof · cited by 1