Theorems · Theorem · number theory
approxOrderOf.image_pow_subset
∀ {A : Type u_1} [inst : SeminormedCommGroup A] {m : ℕ} (δ : ℝ) (n : ℕ),
0 < m → (fun y => y ^ m) '' approxOrderOf A (n * m) δ ⊆ approxOrderOf A n (↑m * δ)- Defined in
- Mathlib.NumberTheory.WellApproximable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedCommGroup
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredproof · cited by 6,101
- Set.imagestatement and proof · cited by 5,609
- LT.lt.ne'proof · cited by 1,417
- Metric.ballproof · cited by 735
- nsmul_eq_mulproof · cited by 369
- orderOfproof · cited by 324
- SeminormedCommGroupstatement and proof · cited by 191
- Set.mem_ofPred_eqproof · cited by 122
- approxOrderOfstatement and proof · cited by 6
- Metric.ball_subset_thickeningproof · cited by 4
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