Theorems · Definition · algebraic topology
SSet.S.cast
{X : SSet} → (s : X.S) → {d : ℕ} → s.dim = d → X.SWhen s : X.S is such that s.dim = d, this is a term
that is equal to s, but whose dimension if definitionally equal to d.
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, 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.
- SSetstatement and proof · cited by 1,283
- SSet.S.dimstatement and proof · cited by 162
- SSet.S.simplexproof · cited by 111
- SSet.Sstatement and proof · cited by 69
Cited by36
Results whose statement or proof uses this declaration.
- SSet.S.IsUniquelyCodimOneFace.δ_indexstatement · cited by 7
- SSet.S.cast_eq_selfstatement and proof · cited by 5
- SSet.prodStdSimplex.pairingCore.IsIndex.simplex_fst_succstatement · cited by 4
- SSet.prodStdSimplex.pairingCore.IsType₂.φ_succAboveproof · cited by 4
- SSet.prodStdSimplex.pairingCore.IsIndex.min_eqproof · cited by 3
- SSet.prodStdSimplex.pairingCore.IsIndex.simplex_fst_castSuccstatement · cited by 3
- SSet.S.IsUniquelyCodimOneFace.δ_eq_iffstatement and proof · cited by 3
- SSet.prodStdSimplex.pairingCore.IsType₂.φ_castSuccproof · cited by 3
- SSet.prodStdSimplex.pairingCore.mem_finset_iffstatement and proof · cited by 2
- SSet.prodStdSimplex.pairingCore.simplex_fst_minstatement · cited by 2
- SSet.Subcomplex.Pairing.RankFunction.Cell.range_mapproof · cited by 2
- SSet.prodStdSimplex.pairingCore.IsIndex.isType₂_δproof · cited by 2