Theorems · Theorem · approximation theory
Asymptotics.IsLittleO.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
- 12 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.IsLittleOstatement and proof · cited by 375
- Asymptotics.IsLittleO.congrproof · cited by 8
Cited by12
Results whose statement or proof uses this declaration.
- HasFDerivAtFilter.addproof · cited by 6
- intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_aeproof · cited by 2
- Real.isLittleO_log_id_atTopproof · cited by 2
- intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae'proof · cited by 2
- intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_aeproof · cited by 2
- PiLp.hasStrictFDerivAt_ofLpproof · cited by 2
- Asymptotics.isLittleO_refl_leftproof · cited by 1
- Asymptotics.IsLittleO.triangleproof · cited by 1
- PiLp.hasStrictFDerivAt_toLpproof · cited by 1
- Real.isLittleO_logb_id_atTopproof · cited by 0
- Asymptotics.IsLittleO.congr_of_subproof · cited by 0