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Theorems · Theorem · logic and foundations

Cardinal.cantorFunctionAux_false

∀ {c : ℝ} {f : ℕ → Bool} {n : ℕ}, f n = false → Cardinal.cantorFunctionAux c f n = 0
Defined in
Mathlib.Analysis.Real.Cardinality
Cited by
6 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cardinal.summable_cantor_function · cited by 2Cardinal.summable_cantor_…Cardinal.cantorFunction_le · cited by 1Cardinal.cantorFunction_leCardinal.cantorFunctionAux_nonneg · cited by 1Cardinal.cantorFunctionAu…Cardinal.cantorFunctionAux_succ · cited by 1Cardinal.cantorFunctionAu…Cardinal.increasing_cantorFunction · cited by 1Cardinal.increasing_canto…Cardinal.cantorFunctionAux_zero · cited by 1Cardinal.cantorFunctionAu…Real · cited by 25697RealCardinal.cantorFunctionAux · cited by 9Cardinal.cantorFunctionAuxCardinal.cantorFunctionAux_fa…CITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.