Theorems · Theorem · category theory
CategoryTheory.Limits.HasZeroObject.to_zero_ext
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C] {X : C}
(f g : X ⟶ 0), f = g- Cited by
- 5 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses Classical.choice
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.HasZeroObjectstatement and proof · cited by 1,298
- CategoryTheory.Limits.HasZeroObject.zero'statement · cited by 115
- CategoryTheory.Limits.IsZero.eq_of_tgtproof · cited by 46
- CategoryTheory.Limits.isZero_zeroproof · cited by 34
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.zero_of_to_zeroproof · cited by 1
- CategoryTheory.Limits.HasZeroObject.zeroIsoIsTerminal_invproof · cited by 0
- CategoryTheory.Limits.HasZeroObject.to_zero_ext_iffproof · cited by 0
- CategoryTheory.Limits.HasZeroObject.zeroIsoTerminal_invproof · cited by 0
- CategoryTheory.Limits.HasZeroObject.zeroIsoIsInitial_invproof · cited by 0