Mathlib Map

Theorems · Theorem · category theory

AddGrpCat.isZero_of_subsingleton

∀ (G : AddGrpCat) [Subsingleton ↑G], CategoryTheory.Limits.IsZero G
Defined in
Mathlib.Algebra.Category.Grp.Zero
Cited by
2 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Assumes
Subsingleton
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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…AddGrpCat.subsingleton_of_isZero · cited by 1AddGrpCat.subsingleton_of…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.Hommap_zero · cited by 1614map_zeroCategoryTheory.Limits.IsZero · cited by 306Limits.IsZeroAddMonoidHom.ext · cited by 149AddMonoidHom.extAddGrpCat · cited by 80AddGrpCatAddGrpCat.carrier · cited by 67AddGrpCat.carrierAddGrpCat.Hom.hom · cited by 20Hom.homAddGrpCat.hom_ext · cited by 2AddGrpCat.hom_extAddGrpCat.isZero_of_subsingle…CITED BYCITES

Cites9

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

Cited by2

Results whose statement or proof uses this declaration.