Theorems · Definition · general topology
cantorToHilbert
(ℕ → Bool) → ℕ → ↑unitInterval
A continuous surjection from the Cantor space to the Hilbert cube.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- Set.Elemstatement · cited by 7,166
- unitIntervalstatement · cited by 607
- Pi.mapproof · cited by 60
- cantorSpaceHomeomorphNatToCantorSpaceproof · cited by 2
- Real.fromBinaryproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- cantorToHilbert_surjectivestatement · cited by 1
- cantorToHilbert_continuousstatement · cited by 1
- exists_nat_bool_continuous_surjective_of_compactproof · cited by 0