Theorems · Theorem · category theory
CommGrpCat.subsingleton_of_isZero
∀ {G : CommGrpCat}, CategoryTheory.Limits.IsZero G → Subsingleton ↑G- Defined in
- Mathlib.Algebra.Category.Grp.Zero
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MulEquiv.toEquivproof · cited by 126
- CommGrpCatstatement and proof · cited by 74
- CommGrpCat.carrierstatement · cited by 59
- CommGrpCat.ofproof · cited by 28
- Equiv.subsingletonproof · cited by 24
- CategoryTheory.Limits.IsZero.isoproof · cited by 11
- CategoryTheory.Iso.commGroupIsoToMulEquivproof · cited by 3
- CommGrpCat.isZero_of_subsingletonproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CommGrpCat.isZero_iff_subsingletonproof · cited by 1