Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.of_eq_top
∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] {P : CategoryTheory.MorphismProperty C},
P = ⊤ → ∀ {X Y : C} (f : X ⟶ Y), P f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Top.topstatement and proof · cited by 9,680
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.CategoryStructstatement and proof · cited by 343
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.isGroupoid_iff_isomorphisms_eq_topproof · cited by 1