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Theorems · Theorem · category theory

AddGrpCat.subsingleton_of_isZero

∀ {G : AddGrpCat}, 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
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Around this declaration

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

AddGrpCat.isZero_iff_subsingleton · cited by 1AddGrpCat.isZero_iff_subs…CategoryTheory.Limits.IsZero · cited by 306Limits.IsZeroAddEquiv.toEquiv · cited by 174AddEquiv.toEquivAddGrpCat · cited by 80AddGrpCatAddGrpCat.carrier · cited by 67AddGrpCat.carrierEquiv.subsingleton · cited by 24Equiv.subsingletonAddGrpCat.of · cited by 23AddGrpCat.ofCategoryTheory.Limits.IsZero.iso · cited by 11IsZero.isoAddGrpCat.isZero_of_subsingleton · cited by 2AddGrpCat.isZero_of_subsi…CategoryTheory.Iso.addGroupIsoToAddEquiv · cited by 1Iso.addGroupIsoToAddEquivAddGrpCat.subsingleton_of_isZ…CITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.