Theorems · Theorem · sequences and series
lt_geom
∀ {u : ℕ → ℝ} {c : ℝ}, 0 ≤ c → ∀ {n : ℕ}, 0 < n → (∀ k < n, u (k + 1) < c * u k) → u n < c ^ n * u 0- Defined in
- Mathlib.Analysis.SpecificLimits.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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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_pos_lt_seq_of_lt_of_leproof · cited by 3
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