Theorems · Theorem · approximation theory
ExpGrowth.expGrowthInf_biInf
∀ {α : Type u_1} (u : α → ℕ → ENNReal) {s : Set α},
s.Finite → ExpGrowth.expGrowthInf (⨅ x ∈ s, u x) = ⨅ x ∈ s, ExpGrowth.expGrowthInf (u x)- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- Set.Finitestatement and proof · cited by 1,814
- iInfstatement and proof · cited by 1,690
- ERealstatement · cited by 793
- Set.Finite.toFinsetproof · cited by 351
- Finset.infproof · cited by 219
- iInf_congr_Propproof · cited by 218
- Set.Finite.mem_toFinsetproof · cited by 74
- ExpGrowth.expGrowthInfstatement and proof · cited by 38
- Finset.inf_eq_iInfproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- ExpGrowth.expGrowthInf_iInfproof · cited by 0