Theorems · Theorem · approximation theory
Asymptotics.IsTheta.trans_isEquivalent
∀ {α : Type u_1} {β : Type u_2} {β₂ : Type u_3} [inst : NormedAddCommGroup β] [inst_1 : Norm β₂] {l : Filter α}
{f : α → β₂} {g₁ g₂ : α → β}, f =Θ[l] g₁ → Asymptotics.IsEquivalent l g₁ g₂ → f =Θ[l] g₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroupNorm
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- Filterstatement and proof · cited by 8,121
- Normstatement and proof · cited by 512
- Asymptotics.IsThetastatement and proof · cited by 115
- Asymptotics.IsEquivalentstatement and proof · cited by 98
- Asymptotics.IsEquivalent.isThetaproof · cited by 9
- Asymptotics.IsTheta.transproof · cited by 3
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