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Theorems · Theorem · algebraic topology

SSet.S.existsUnique_n

∀ {X : SSet} (x : X.S), ∃! y, y.subcomplex = x.subcomplex
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplices
Cited by
2 results in Mathlib
Foundations
Depth 92 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.

SSet.S.subcomplex_toN · cited by 2S.subcomplex_toNSSet.S.toN_eq_iff · cited by 1S.toN_eq_iffDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor.map · cited by 8698Functor.mapSet.Elem · cited by 7166Set.ElemCategoryTheory.Category.assoc · cited by 6433Category.assocCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homCategoryTheory.Category.comp_id · cited by 2119Category.comp_idle_antisymm · cited by 2068le_antisymmQuiver.Hom.op · cited by 1948Hom.opSSet · cited by 1283SSetCategoryTheory.Functor.map_comp · cited by 734Functor.map_compCategoryTheory.Epi · cited by 688CategoryTheory.EpiSubtype.prop · cited by 505Subtype.propS.existsUnique_nCITED BYCITES

Cites35

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Cited by2

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