Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.toPath_mem_paths
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W : CategoryTheory.MorphismProperty C} {X Y : C}
{f : X ⟶ Y}, W f → W.paths f.toPath- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.MorphismPropertystatement and proof · cited by 2,179
- Quiver.Hom.toPathstatement · cited by 38
- CategoryTheory.MorphismProperty.pathsstatement · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.toPath_mem_paths_iffproof · cited by 0