Theorems · Theorem · approximation theory
ExpGrowth.le_expGrowthSup_mul
∀ {u v : ℕ → ENNReal}, ExpGrowth.expGrowthSup u + ExpGrowth.expGrowthInf v ≤ ExpGrowth.expGrowthSup (u * v)See le_expGrowthSup_mul' for a version with swapped argument u and v.
- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- ERealstatement and proof · cited by 793
- Filter.Eventually.of_forallproof · cited by 526
- LE.le.trans_eqproof · cited by 328
- Nat.cast_nonneg'proof · cited by 245
- ENNReal.logproof · cited by 72
- Pi.add_applyproof · cited by 61
- ExpGrowth.expGrowthSupstatement · cited by 42
- ExpGrowth.expGrowthInfstatement · cited by 38
- Pi.mul_applyproof · cited by 24
- Filter.limsup_congrproof · cited by 20
- EReal.add_div_of_nonneg_rightproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- ExpGrowth.le_expGrowthSup_mul'proof · cited by 1