Theorems · Theorem · approximation theory
Asymptotics.IsBigO.prod_rightr
∀ {α : Type u_1} {E : Type u_3} {E' : Type u_6} {F' : Type u_7} [inst : Norm E] [inst_1 : SeminormedAddCommGroup E']
[inst_2 : SeminormedAddCommGroup F'] {f : α → E} (f' : α → E') {g' : α → F'} {l : Filter α},
f =O[l] g' → f =O[l] fun x => (f' x, g' 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_rightrproof · cited by 2
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