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Theorems · Theorem · algebraic topology

CategoryTheory.SimplicialObject.Splitting.IndexSet.eqId_iff_len_le

∀ {Δ : SimplexCategoryᵒᵖ} (A : CategoryTheory.SimplicialObject.Splitting.IndexSet Δ),
  A.EqId ↔ (Opposite.unop Δ).len ≤ (Opposite.unop A.fst).len
Defined in
Mathlib.AlgebraicTopology.SimplicialObject.Split
Cited by
1 results in Mathlib
Foundations
Depth 88 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.

CategoryTheory.SimplicialObject.Splitting.IndexSet.eqId_iff_mono · cited by 2IndexSet.eqId_iff_monoQuiver.Hom · cited by 32603Quiver.HomOpposite · cited by 8081OppositeOpposite.unop · cited by 2231Opposite.unopSimplexCategory · cited by 2204SimplexCategoryle_antisymm · cited by 2068le_antisymmle_refl · cited by 2061le_reflCategoryTheory.Epi · cited by 688CategoryTheory.EpiSimplexCategory.len · cited by 542SimplexCategory.lenCategoryTheory.SimplicialObject.Splitting.IndexSet · cited by 65Splitting.IndexSetCategoryTheory.SimplicialObject.Splitting.IndexSet.e · cited by 28IndexSet.eSimplexCategory.len_le_of_epi · cited by 9SimplexCategory.len_le_of…CategoryTheory.SimplicialObject.Splitting.IndexSet.EqId · cited by 7IndexSet.EqIdCategoryTheory.SimplicialObject.Splitting.IndexSet.eqId_iff_len_eq · cited by 2IndexSet.eqId_iff_len_eqIndexSet.eqId_iff_len_leCITED BYCITES

Cites13

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Cited by1

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