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Theorems · Theorem · category theory

GrpCat.isZero_of_subsingleton

∀ (G : GrpCat) [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.

GrpCat.subsingleton_of_isZero · cited by 1GrpCat.subsingleton_of_is…GrpCat.isZero_iff_subsingleton · cited by 1GrpCat.isZero_iff_subsing…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.Hommap_one · cited by 861map_oneCategoryTheory.Limits.IsZero · cited by 306Limits.IsZeroGrpCat · cited by 146GrpCatGrpCat.carrier · cited by 125GrpCat.carrierMonoidHom.ext · cited by 109MonoidHom.extGrpCat.Hom.hom · cited by 47Hom.homGrpCat.hom_ext · cited by 3GrpCat.hom_extGrpCat.isZero_of_subsingletonCITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.