Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.RankFunction.Cell.subcomplex_not_le_image_horn
∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} {ι : Type v} [inst : LinearOrder ι] {f : P.RankFunction ι} {i : ι}
(c : f.Cell i) [inst_1 : P.IsProper], ¬(↑c.s).subcomplex ≤ c.horn.image c.map- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites53
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapproof · cited by 8,698
- LinearOrderstatement and proof · cited by 8,572
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Equiv.symmproof · cited by 3,681
- Compl.complproof · cited by 2,925
- Opposite.unopproof · cited by 2,231
Cited by2
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.RankFunction.Cell.preimage_filtration_mapproof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.Cell.image_horn_lt_subcomplexproof · cited by 1