Theorems · Theorem · approximation theory
Asymptotics.IsBigO.prod_rightl
∀ {α : Type u_1} {E : Type u_3} {F' : Type u_7} {G' : Type u_8} [inst : Norm E] [inst_1 : SeminormedAddCommGroup F']
[inst_2 : SeminormedAddCommGroup G'] {f : α → E} {g' : α → F'} (k' : α → G') {l : Filter α},
f =O[l] g' → f =O[l] fun x => (g' x, k' x)- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 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.
- Realproof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Normstatement and proof · cited by 512
- Asymptotics.IsBigOstatement and proof · cited by 506
- Asymptotics.IsBigOWithproof · cited by 187
- Asymptotics.IsBigOWith.isBigOproof · cited by 40
- Asymptotics.IsBigO.exists_nonnegproof · cited by 10
- Asymptotics.IsBigOWith.prod_rightlproof · cited by 2
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