Theorems · Theorem · logic and foundations
Cardinal.cantorFunction_le
∀ {c : ℝ} {f g : ℕ → Bool},
0 ≤ c → c < 1 → (∀ (n : ℕ), f n = true → g n = true) → Cardinal.cantorFunction c f ≤ Cardinal.cantorFunction c g- Defined in
- Mathlib.Analysis.Real.Cardinality
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 155 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
- Summable.tsum_le_tsumproof · cited by 27
- Cardinal.cantorFunctionAuxproof · cited by 9
- Cardinal.cantorFunctionAux_falseproof · cited by 6
- Cardinal.cantorFunctionAux_trueproof · cited by 5
- Cardinal.cantorFunctionstatement · cited by 4
- Cardinal.summable_cantor_functionproof · cited by 2
- Cardinal.cantorFunctionAux_nonnegproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.increasing_cantorFunctionproof · cited by 1