Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.RankFunction.Cell.image_face_index_compl
∀ {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], (SSet.stdSimplex.face {c.index}ᶜ).image c.map = (↑c.s).subcomplex- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Equiv.symmproof · cited by 3,681
- Compl.complstatement · cited by 2,925
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
Cited by1
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.RankFunction.Cell.preimage_filtration_mapproof · cited by 1