Theorems · Theorem · number theory
approxOrderOf.image_pow_subset_of_coprime
∀ {A : Type u_1} [inst : SeminormedCommGroup A] {m n : ℕ} (δ : ℝ),
0 < m → n.Coprime m → (fun y => y ^ m) '' approxOrderOf A n 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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- Realstatement and proof · cited by 25,697
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- nsmul_eq_mulproof · cited by 369
- orderOfproof · cited by 324
- SeminormedCommGroupstatement and proof · cited by 191
- approxOrderOfstatement and proof · cited by 6
- Metric.ball_subset_thickeningproof · cited by 4
- pow_mem_ballproof · cited by 2
- mem_approxOrderOf_iffproof · cited by 2
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