Theorems · Theorem · number theory
IsApproximateSubgroup.of_small_tripling
∀ {G : Type u_1} [inst : Group G] {K : ℝ} [inst_1 : DecidableEq G] {A : Finset G},
1 ∈ A → A⁻¹ = A → ↑(A ^ 3).card ≤ K * ↑A.card → IsApproximateSubgroup (K ^ 3) (↑A ^ 2)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupDecidableEq
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Cites20
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
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- one_mulproof · cited by 2,841
- Finset.cardstatement and proof · cited by 2,327
- mul_assocproof · cited by 1,667
- pow_zeroproof · cited by 1,094
- Finset.Nonemptyproof · cited by 1,001
- div_eq_mul_invproof · cited by 715
- pow_succproof · cited by 374
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