Theorems · Theorem · approximation theory
LinearGrowth.linearGrowthInf_biInf
∀ {α : Type u_1} (u : α → ℕ → EReal) {s : Set α},
s.Finite → LinearGrowth.linearGrowthInf (⨅ x ∈ s, u x) = ⨅ x ∈ s, LinearGrowth.linearGrowthInf (u x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Set.Finitestatement and proof · cited by 1,814
- iInfstatement and proof · cited by 1,690
- ERealstatement and proof · 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
- LinearGrowth.linearGrowthInfstatement and proof · cited by 41
- Finset.inf_eq_iInfproof · cited by 19
- map_finset_infproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- LinearGrowth.linearGrowthInf_iInfproof · cited by 0