Theorems · Theorem · number theory
eventually_residual_liouville
∀ᶠ (x : ℝ) in residual ℝ, Liouville x
The set of Liouville numbers is a residual set.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Realstatement and proof · cited by 25,697
- Set.ofPredproof · cited by 6,101
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- PseudoMetricSpaceproof · cited by 1,550
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- Nat.cast_mulproof · cited by 309
- pow_posproof · cited by 292
- two_ne_zeroproof · cited by 251
Cited by2
Results whose statement or proof uses this declaration.
- dense_liouvilleproof · cited by 0
- Real.disjoint_residual_aeproof · cited by 0