Theorems · Theorem · approximation theory
Asymptotics.IsBigO.congr_left
∀ {α : Type u_1} {E : Type u_3} {F : Type u_4} [inst : Norm E] [inst_1 : Norm F] {g : α → F} {l : Filter α}
{f₁ f₂ : α → E}, f₁ =O[l] g → (∀ (x : α), f₁ x = f₂ x) → f₂ =O[l] g- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Normstatement and proof · cited by 512
- Asymptotics.IsBigOstatement and proof · cited by 506
- Asymptotics.IsBigO.congrproof · cited by 6
Cited by8
Results whose statement or proof uses this declaration.
- Asymptotics.IsBigO.congr_of_subproof · cited by 2
- Asymptotics.IsBigO.symmproof · cited by 2
- mellin_hasDerivAt_of_isBigO_rpowproof · cited by 2
- ContinuousLinearEquiv.isBigO_comp_revproof · cited by 1
- UpperHalfPlane.IsZeroAtImInfty.petersson_exp_decay_rightproof · cited by 1
- Asymptotics.isBigO_refl_leftproof · cited by 0
- LSeries_eq_mul_integral_of_nonnegproof · cited by 0
- Asymptotics.IsBigO.triangleproof · cited by 0