Theorems · Theorem · logic and foundations
Cardinal.cantorFunctionAux_succ
∀ {c : ℝ} (f : ℕ → Bool),
(fun n => Cardinal.cantorFunctionAux c f (n + 1)) = fun n => c * Cardinal.cantorFunctionAux c (fun n => f (n + 1)) n- Defined in
- Mathlib.Analysis.Real.Cardinality
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- pow_succ'proof · cited by 228
- Cardinal.cantorFunctionAuxstatement · cited by 9
- Cardinal.cantorFunctionAux_falseproof · cited by 6
- Cardinal.cantorFunctionAux_trueproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.cantorFunction_succproof · cited by 1