Theorems · Theorem · sequences and series
geom_le
∀ {u : ℕ → ℝ} {c : ℝ}, 0 ≤ c → ∀ (n : ℕ), (∀ k < n, c * u k ≤ u (k + 1)) → c ^ n * u 0 ≤ u n- Defined in
- Mathlib.Analysis.SpecificLimits.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- pow_zeroproof · cited by 1,094
- pow_succ'proof · cited by 228
- monotone_mul_left_of_nonnegproof · cited by 8
- Monotone.seq_le_seqproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- tendsto_atTop_of_geom_leproof · cited by 2
- hoferproof · cited by 0