Theorems · Inductive type · algebraic topology
SSet.StrictSegal
SSet → Type u
A simplicial set X satisfies the strict Segal condition if its simplices
are uniquely determined by their spine.
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SSetstatement · cited by 1,283
Cited by41
Results whose statement or proof uses this declaration.
- SSet.StrictSegal.spineToSimplexstatement and proof · cited by 16
- SSet.StrictSegal.spineInjectivestatement and proof · cited by 4
- SSet.StrictSegal.spineToSimplex_arrowstatement and proof · cited by 4
- SSet.StrictSegal.spineToDiagonalstatement and proof · cited by 3
- SSet.StrictSegal.spineToSimplex_vertexstatement and proof · cited by 3
- SSet.StrictSegal.spine_spineToSimplex_applystatement and proof · cited by 3
- SSet.StrictSegal.isPointwiseRightKanExtensionAt.liftstatement and proof · cited by 3
- SSet.StrictSegal.spineEquivstatement and proof · cited by 2
- SSet.StrictSegal.spineToSimplex_edgestatement and proof · cited by 1
- SSet.StrictSegal.spineToSimplex_intervalstatement and proof · cited by 1
- SSet.StrictSegal.spineToSimplex_spinestatement and proof · cited by 1
- SSet.StrictSegal.spineToSimplex_spine_applystatement and proof · cited by 1