Theorems · Theorem · category theory

CategoryTheory.Limits.initial.strict_hom_ext_iff

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.Limits.HasStrictInitialObjects C]
  [inst_2 : CategoryTheory.Limits.HasInitial C] {A : C} {f g : A ⟶ ⊥_ C}, f = g ↔ True

Defined in: Mathlib.CategoryTheory.Limits.Shapes.StrictInitial
Cited by: 0 results in Mathlib
Foundations: Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasStrictInitialObjects CategoryTheory.Limits.HasInitial

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites6

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.Limits.HasInitialstatement and proof · cited by 185
CategoryTheory.Limits.initialstatement and proof · cited by 84
CategoryTheory.Limits.HasStrictInitialObjectsstatement and proof · cited by 28
CategoryTheory.Limits.initial.strict_hom_extproof · cited by 1

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.