Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.RankFunction.Cell.preimage_filtration_map
∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} {ι : Type v} [inst : LinearOrder ι] (f : P.RankFunction ι)
[inst_1 : P.IsProper] {j : ι} (c : f.Cell j), (f.filtration j).preimage c.map = c.horn- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites51
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Functor.objstatement · cited by 19,642
- LinearOrderstatement and proof · cited by 8,572
- Oppositestatement · cited by 8,081
- Set.Elemproof · cited by 7,166
- LE.le.transproof · cited by 3,151
- Compl.complproof · cited by 2,925
- SimplexCategorystatement · cited by 2,204
- le_antisymmproof · cited by 2,068
- SSetstatement and proof · cited by 1,283
- le_transproof · cited by 985
- SSet.stdSimplexstatement · cited by 499
Cited by1
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.RankFunction.isPullbackproof · cited by 1