Theorems · Theorem · number theory
Finset.subConst_le_addConst_sq
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : DecidableEq G] {A : Finset G}, A.subConst A ≤ A.addConst A ^ 2If A has small doubling, then it has small difference, with the constant squared.
This is a consequence of the Ruzsa triangle inequality.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupDecidableEq
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Cites23
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- AddGroupstatement and proof · cited by 4,410
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- Finset.Nonemptyproof · cited by 1,001
- NNRatstatement and proof · cited by 523
- mul_posproof · cited by 374
- zero_powproof · cited by 361
- Nat.cast_mulproof · cited by 309
- Nat.cast_pos'proof · cited by 219
- Nat.cast_leproof · cited by 159
- Finset.eq_empty_or_nonemptyproof · cited by 104
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