Theorems · Theorem · combinatorics
Finset.ruzsa_triangle_inequality_div_div_div
∀ {G : Type u_1} [inst : DecidableEq G] [inst_1 : Group G] (A B C : Finset G),
(A / C).card * B.card ≤ (A / B).card * (C / B).cardRuzsa's triangle inequality. Division version.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- mul_oneproof · cited by 3,885
- Finset.cardstatement and proof · cited by 2,327
- SProd.sprodproof · cited by 1,750
- Finset.mem_coeproof · cited by 91
- Finset.divstatement · cited by 63
- Finset.card_productproof · cited by 39
- Finset.bipartiteBelowproof · cited by 24
- Finset.card_le_card_of_injOnproof · cited by 16
- Finset.card_le_one_iffproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- Finset.ruzsa_triangle_inequality_div_mul_mulproof · cited by 2
- Finset.ruzsa_triangle_inequality_invMul_invMul_invMulproof · cited by 1
- Finset.ruzsa_triangle_inequality_mulInv_mulInv_mulInvproof · cited by 1