Theorems · Theorem · general topology
cantorSet_subset_unitInterval
cantorSet ⊆ Set.Icc 0 1
The ternary Cantor set is a subset of [0,1].
- Defined in
- Mathlib.Topology.Instances.CantorSet
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.Iccstatement · cited by 1,702
- Set.iInter_subsetproof · cited by 39
- cantorSetstatement · cited by 14
- preCantorSetproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- ofDigits_cantorToTernary_sum_leproof · cited by 1
- le_ofDigits_cantorToTernary_sumproof · cited by 1
- isCompact_cantorSetproof · cited by 0