Theorems · Theorem · category theory
SimplexCategory.le_of_mono
∀ {n m : ℕ} (f : { len := n } ⟶ { len := m }) [CategoryTheory.Mono f], n ≤ m- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Mono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 2,204
- CategoryTheory.Monostatement and proof · cited by 893
- SimplexCategory.len_le_of_monoproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- SSet.degenerate_eq_iUnion_range_σproof · cited by 4
- SSet.Subcomplex.Pairing.RankFunction.exists_or_of_range_m_Nproof · cited by 0