Theorems · Theorem · approximation theory
Monotone.expGrowthSup_comp_mul
∀ {u : ℕ → ENNReal} {m : ℕ},
Monotone u → m ≠ 0 → (ExpGrowth.expGrowthSup fun n => u (m * n)) = ↑m * ExpGrowth.expGrowthSup u- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 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.
- ENNRealstatement and proof · cited by 9,879
- Monotonestatement and proof · cited by 1,397
- ERealstatement · cited by 793
- Monotone.compproof · cited by 67
- ExpGrowth.expGrowthSupstatement · cited by 42
- ENNReal.log_monotoneproof · cited by 14
- Monotone.linearGrowthSup_comp_mulproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Dynamics.coverEntropyEntourage_le_log_coverMincard_divproof · cited by 2