Theorems · Inductive type · algebraic topology
SSet.relativeCellComplexOfMono.Cell
{X Y : SSet} → (X ⟶ Y) → ℕ → Type uIf i : X ⟶ Y is a monomorphism of simplicial sets and d : ℕ, this is
the type of nondegenerate d-simplices of Y which do not belong to
the range of i.
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
Cited by45
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMono.sigmaStdSimplexproof · cited by 17
- SSet.relativeCellComplexOfMonoproof · cited by 14
- SSet.relativeCellComplexOfMono.Cell.ιSigmaStdSimplexstatement and proof · cited by 12
- SSet.relativeCellComplexOfMono.bproof · cited by 12
- SSet.relativeCellComplexOfMono.Cell.simplexstatement and proof · cited by 11
- SSet.relativeCellComplexOfMono.sigmaBoundaryproof · cited by 11
- SSet.relativeCellComplexOfMono.lproof · cited by 8
- SSet.relativeCellComplexOfMono.Cell.mapstatement and proof · cited by 7
- SSet.relativeCellComplexOfMono.tproof · cited by 7
- SSet.relativeCellComplexOfMono.Cell.ιSigmaBoundarystatement and proof · cited by 6
- SSet.relativeCellComplexOfMono.Cell.range_map_lestatement and proof · cited by 3
- SSet.relativeCellComplexOfMono.Cell.ι_lstatement and proof · cited by 3