Theorems · Theorem · algebraic topology
CategoryTheory.SimplicialObject.Split.hom_ext
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {S₁ S₂ : CategoryTheory.SimplicialObject.Split C}
(Φ₁ Φ₂ : S₁ ⟶ S₂), (∀ (n : ℕ), Φ₁.f n = Φ₂.f n) → Φ₁ = Φ₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.SimplicialObject.Splitting.Nstatement · cited by 81
- CategoryTheory.SimplicialObject.Splitstatement and proof · cited by 37
- CategoryTheory.SimplicialObject.Split.Xstatement · cited by 30
- CategoryTheory.SimplicialObject.Split.sstatement · cited by 26
- CategoryTheory.SimplicialObject.Split.Hom.fstatement and proof · cited by 15
- CategoryTheory.SimplicialObject.Split.Hom.extproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.SimplicialObject.Split.hom_ext_iffproof · cited by 0