Theorems · Theorem · number theory

IsApproximateSubgroup.pow_inter_pow

∀ {G : Type u_1} [inst : Group G] {A B : Set G} {K L : ℝ} {m n : ℕ},
  IsApproximateSubgroup K A →
    IsApproximateSubgroup L B →
      2 ≤ m → 2 ≤ n → IsApproximateSubgroup (K ^ (2 * m - 1) * L ^ (2 * n - 1)) (A ^ m ∩ B ^ n)

Defined in: Mathlib.Combinatorics.Additive.ApproximateSubgroup
Cited by: 0 results in Mathlib
Foundations: Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group

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Realstatement and proof · cited by 25,697
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Set.NPowstatement · cited by 51
pow_mul'proof · cited by 20
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Set.inter_invproof · cited by 11
IsApproximateSubgroup.inv_eq_selfproof · cited by 5
IsApproximateSubgroup.one_memproof · cited by 5
Set.inter_pow_subsetproof · cited by 1

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