Theorems · Definition · general topology
PiNat.res
{α : Type u_2} → (ℕ → α) → ℕ → List αIn the case where E has constant value α,
the cylinder cylinder x n can be identified with the element of List α
consisting of the first n entries of x. See cylinder_eq_res.
We call this list res x n, the restriction of x to n.
- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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Cited by14
Results whose statement or proof uses this declaration.
- CantorScheme.inducedMapproof · cited by 5
- CantorScheme.VanishingDiamproof · cited by 4
- CantorScheme.map_memstatement and proof · cited by 3
- CantorScheme.VanishingDiam.dist_ltstatement and proof · cited by 2
- PiNat.res_eq_resstatement and proof · cited by 2
- Perfect.exists_nat_bool_injectionproof · cited by 2
- PiNat.cylinder_eq_resstatement · cited by 1
- CantorScheme.ClosureAntitone.map_of_vanishingDiamproof · cited by 1
- CantorScheme.Disjoint.map_injectiveproof · cited by 1
- CantorScheme.VanishingDiam.map_continuousproof · cited by 1
- PiNat.res_injectivestatement and proof · cited by 1
- PiNat.res_lengthstatement and proof · cited by 1