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Theorems · Theorem · algebraic topology

SSet.N.dim_le_of_le

∀ {X : SSet} {x y : X.N}, x ≤ y → x.dim ≤ y.dim
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplices
Cited by
1 results in Mathlib
Foundations
Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
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SSet.N.dim_lt_of_lt · cited by 1N.dim_lt_of_ltDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homQuiver.Hom.op · cited by 1948Hom.opSSet · cited by 1283SSetCategoryTheory.Mono · cited by 893CategoryTheory.MonoSSet.N.toS · cited by 171N.toSSSet.S.dim · cited by 162S.dimSSet.S.simplex · cited by 111S.simplexSSet.N · cited by 70SSet.NSimplexCategory.len_le_of_mono · cited by 8SimplexCategory.len_le_of…SSet.N.le_iff_exists_mono · cited by 3N.le_iff_exists_monoN.dim_le_of_leCITED BYCITES

Cites13

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Cited by1

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