Theorems · Theorem · number theory
IsApproximateAddSubgroup.nsmul_inter_nsmul
∀ {G : Type u_1} [inst : AddGroup G] {A B : Set G} {K L : ℝ} {m n : ℕ},
IsApproximateAddSubgroup K A →
IsApproximateAddSubgroup L B →
2 ≤ m → 2 ≤ n → IsApproximateAddSubgroup (K ^ (2 * m - 1) * L ^ (2 * n - 1)) (m • A ∩ n • B)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites17
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
- AddGroupstatement and proof · cited by 4,410
- le_reflproof · cited by 2,061
- Set.inter_subset_interproof · cited by 66
- Set.NSMulstatement · cited by 42
- neg_nsmulproof · cited by 19
- IsApproximateAddSubgroupstatement and proof · cited by 14
- Set.inter_negproof · cited by 11
- mul_nsmul'proof · cited by 8
- IsApproximateAddSubgroup.neg_eq_selfproof · cited by 5
- IsApproximateAddSubgroup.zero_memproof · cited by 5
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