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Theorems · Theorem · category theory

CommGrpCat.isZero_of_subsingleton

∀ (G : CommGrpCat) [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.

CommGrpCat.isZero_iff_subsingleton · cited by 1CommGrpCat.isZero_iff_sub…CommGrpCat.subsingleton_of_isZero · cited by 1CommGrpCat.subsingleton_o…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.Hommap_one · cited by 861map_oneCategoryTheory.Limits.IsZero · cited by 306Limits.IsZeroMonoidHom.ext · cited by 109MonoidHom.extCommGrpCat · cited by 74CommGrpCatCommGrpCat.carrier · cited by 59CommGrpCat.carrierCommGrpCat.Hom.hom · cited by 26Hom.homCommGrpCat.hom_ext · cited by 2CommGrpCat.hom_extCommGrpCat.isZero_of_subsingl…CITED BYCITES

Cites9

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Cited by2

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