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Theorems · Definition · logic and foundations

Cardinal.cantorFunction

ℝ → (ℕ → Bool) → ℝ

cantorFunction c (f : ℕ → Bool) is Σ n, f n * c ^ n, where true is interpreted as 1 and false is interpreted as 0. It is implemented using cantorFunctionAux.

Defined in
Mathlib.Analysis.Real.Cardinality
Cited by
4 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

Cardinal.cantorFunction_injective · cited by 1Cardinal.cantorFunction_i…Cardinal.cantorFunction_le · cited by 1Cardinal.cantorFunction_leCardinal.cantorFunction_succ · cited by 1Cardinal.cantorFunction_s…Cardinal.increasing_cantorFunction · cited by 1Cardinal.increasing_canto…Real · cited by 25697RealSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…tsum · cited by 1148tsumCardinal.cantorFunctionAux · cited by 9Cardinal.cantorFunctionAuxCardinal.cantorFunctionCITED BYCITES

Cites4

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Cited by4

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