Theorems · Theorem · algebraic topology
SSet.N.ext_iff
∀ {X : SSet} (x y : X.N), x = y ↔ x.toS = y.toS- Cited by
- 6 results in Mathlib
- Foundations
- Depth 43 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.
- SSetstatement and proof · cited by 1,283
- SSet.N.toSstatement · cited by 171
- SSet.Nstatement and proof · cited by 70
- SSet.Sstatement · cited by 69
Cited by6
Results whose statement or proof uses this declaration.
- SSet.prodStdSimplex.pairingCore.IsType₂.type₁_eq_of_δ_eqproof · cited by 1
- SSet.S.eq_iff_ofSimplex_eqproof · cited by 1
- SSet.Subcomplex.N.eq_iff_sMk_eqproof · cited by 0
- SSet.Subcomplex.PairingCore.surjectiveproof · cited by 0
- SSet.Subcomplex.PairingCore.injective_type₁proof · cited by 0
- SSet.Subcomplex.PairingCore.injective_type₂proof · cited by 0