Theorems · Theorem · approximation theory
Asymptotics.isBigOWith_const_mul_self
∀ {α : Type u_1} {R : Type u_13} [inst : SeminormedRing R] (c : R) (f : α → R) (l : Filter α),
Asymptotics.IsBigOWith ‖c‖ l (fun x => c * f x) f- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Norm.normstatement · cited by 5,413
- SeminormedRingstatement and proof · cited by 446
- Asymptotics.IsBigOWithstatement · cited by 187
- norm_mul_leproof · cited by 31
- Asymptotics.isBigOWith_of_le'proof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Asymptotics.isBigO_const_mul_selfproof · cited by 8
- Asymptotics.isBigOWith_self_const_mul'proof · cited by 2
- Asymptotics.IsBigOWith.const_mul_leftproof · cited by 1
- Asymptotics.IsBigOWith.of_const_mul_rightproof · cited by 1