Theorems · Theorem · approximation theory
ExpGrowth.expGrowthSup_sum
∀ {α : Type u_1} (u : α → ℕ → ENNReal) (s : Finset α),
ExpGrowth.expGrowthSup (∑ x ∈ s, u x) = ⨆ x ∈ s, ExpGrowth.expGrowthSup (u x)- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- ENNRealstatement and proof · cited by 9,879
- Finset.sumstatement and proof · cited by 5,195
- Bot.botproof · cited by 4,720
- iSupstatement and proof · cited by 2,415
- ERealstatement and proof · cited by 793
- Finset.sum_insertproof · cited by 196
- Finset.induction_onproof · cited by 167
- Finset.coe_insertproof · cited by 124
- Finset.coe_emptyproof · cited by 109
- Finset.sum_emptyproof · cited by 45
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