Theorems · Theorem · real analysis
Asymptotics.IsTheta.symm
∀ {α : Type u_1} {E : Type u_3} {F : Type u_4} [inst : Norm E] [inst_1 : Norm F] {f : α → E} {g : α → F} {l : Filter α},
f =Θ[l] g → g =Θ[l] f- Defined in
- Mathlib.Analysis.Asymptotics.Theta
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.IsThetastatement and proof · cited by 115
Cited by12
Results whose statement or proof uses this declaration.
- Asymptotics.IsTheta.isBigO_congr_leftproof · cited by 4
- Asymptotics.IsTheta.add_isLittleOproof · cited by 4
- Asymptotics.IsTheta.isBigO_congr_rightproof · cited by 3
- Asymptotics.IsTheta.isLittleO_congr_rightproof · cited by 3
- Asymptotics.IsTheta.isLittleO_congr_leftproof · cited by 2
- AkraBazziRecurrence.rpow_p_mul_one_add_smoothingFn_geproof · cited by 1
- AkraBazziRecurrence.rpow_p_mul_one_sub_smoothingFn_leproof · cited by 1
- Asymptotics.isTheta_commproof · cited by 1
- Asymptotics.IsTheta.finsetProdproof · cited by 0
- Asymptotics.IsTheta.listProdproof · cited by 0
- Asymptotics.IsTheta.multisetProdproof · cited by 0
- Asymptotics.IsTheta.rpowproof · cited by 0