Theorems · Theorem · approximation theory
Asymptotics.IsBigOWith.congr_const
∀ {α : Type u_1} {E : Type u_3} {F : Type u_4} [inst : Norm E] [inst_1 : Norm F] {c₁ c₂ : ℝ} {f : α → E} {g : α → F}
{l : Filter α}, Asymptotics.IsBigOWith c₁ l f g → c₁ = c₂ → Asymptotics.IsBigOWith c₂ l f g- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- Normstatement and proof · cited by 512
- Asymptotics.IsBigOWithstatement and proof · cited by 187
- Asymptotics.IsBigOWith.congrproof · cited by 4
Cited by13
Results whose statement or proof uses this declaration.
- Asymptotics.IsLittleO.addproof · cited by 17
- Asymptotics.IsBigO.mul_isLittleOproof · cited by 15
- Asymptotics.IsLittleO.mul_isBigOproof · cited by 11
- Asymptotics.IsLittleO.trans_isBigOWithproof · cited by 4
- Asymptotics.IsBigO.smul_isLittleOproof · cited by 3
- Asymptotics.IsBigOWith.prod_rightlproof · cited by 2
- Asymptotics.IsBigOWith.prod_rightrproof · cited by 2
- Asymptotics.IsLittleO.smul_isBigOproof · cited by 2
- Asymptotics.IsBigOWith.add_isLittleOproof · cited by 2
- Asymptotics.IsBigOWith.prod_left_fstproof · cited by 1
- Asymptotics.IsBigOWith.prod_left_sndproof · cited by 1
- Asymptotics.IsBigOWith.trans_isLittleOproof · cited by 1