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Theorems · Theorem · algebraic topology

CategoryTheory.SimplicialObject.Splitting.IndexSet.eqId_iff_mono

∀ {Δ : SimplexCategoryᵒᵖ} (A : CategoryTheory.SimplicialObject.Splitting.IndexSet Δ), A.EqId ↔ CategoryTheory.Mono A.e
Defined in
Mathlib.AlgebraicTopology.SimplicialObject.Split
Cited by
2 results in Mathlib
Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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CategoryTheory.SimplicialObject.Splitting.cofan_inj_comp_PInfty_eq_zero · cited by 2Splitting.cofan_inj_comp_…CategoryTheory.SimplicialObject.Splitting.ιSummand_comp_d_comp_πSummand_eq_zero · cited by 0Splitting.ιSummand_comp_d…Quiver.Hom · cited by 32603Quiver.HomOpposite · cited by 8081OppositeOpposite.unop · cited by 2231Opposite.unopSimplexCategory · cited by 2204SimplexCategoryCategoryTheory.Mono · cited by 893CategoryTheory.MonoCategoryTheory.Epi · cited by 688CategoryTheory.EpiCategoryTheory.SimplicialObject.Splitting.IndexSet · cited by 65Splitting.IndexSetCategoryTheory.SimplicialObject.Splitting.IndexSet.e · cited by 28IndexSet.eSimplexCategory.len_le_of_mono · cited by 8SimplexCategory.len_le_of…CategoryTheory.SimplicialObject.Splitting.IndexSet.EqId · cited by 7IndexSet.EqIdCategoryTheory.SimplicialObject.Splitting.IndexSet.eqId_iff_len_le · cited by 1IndexSet.eqId_iff_len_leIndexSet.eqId_iff_monoCITED BYCITES

Cites11

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Cited by2

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