ofDigits_zero_two_sequence_mem_cantorSet

∀ {a : ℕ → Fin 3}, (∀ (n : ℕ), a n ≠ 1) → Real.ofDigits a ∈ cantorSet

If x = 0.d₀d₁... in base-3 (ternary), and none of the digits dᵢ is 1, then x belongs to the Cantor set.

Defined in: Mathlib.Topology.Instances.CantorSet
Cited by: 2 results in Mathlib
Foundations: Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound

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