Theorems · Theorem · logic and foundations
Cardinal.summable_cantor_function
∀ {c : ℝ} (f : ℕ → Bool), 0 ≤ c → c < 1 → Summable (Cardinal.cantorFunctionAux c f)- Defined in
- Mathlib.Analysis.Real.Cardinality
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- SummationFilter.unconditionalstatement · cited by 2,068
- Summablestatement · cited by 778
- summable_geometric_of_lt_oneproof · cited by 19
- Cardinal.cantorFunctionAuxstatement · cited by 9
- Cardinal.cantorFunctionAux_falseproof · cited by 6
- Cardinal.cantorFunctionAux_trueproof · cited by 5
- Summable.summable_of_eq_zero_or_selfproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.cantorFunction_leproof · cited by 1
- Cardinal.cantorFunction_succproof · cited by 1