Theorems · Theorem · category theory
AddGrpCat.isZero_iff_subsingleton
∀ {G : AddGrpCat}, CategoryTheory.Limits.IsZero G ↔ Subsingleton ↑G- Defined in
- Mathlib.Algebra.Category.Grp.Zero
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
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.Limits.IsZerostatement and proof · cited by 306
- AddGrpCatstatement and proof · cited by 80
- AddGrpCat.carrierstatement and proof · cited by 67
- AddGrpCat.isZero_of_subsingletonproof · cited by 2
- AddGrpCat.subsingleton_of_isZeroproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddGrpCat.isZero_of_iff_subsingletonproof · cited by 0