Theorems · Theorem · number theory
IsApproximateSubgroup.card_mul_self_le
∀ {G : Type u_1} [inst : Group G] {K : ℝ} [inst_1 : DecidableEq G] {A : Finset G},
IsApproximateSubgroup K ↑A → ↑(A * A).card ≤ K * ↑A.card- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupDecidableEq
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- Finset.cardstatement and proof · cited by 2,327
- pow_oneproof · cited by 894
- sqproof · cited by 280
- Finset.mulstatement · cited by 155
- IsApproximateSubgroupstatement and proof · cited by 14
- IsApproximateSubgroup.card_pow_leproof · cited by 1
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