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Theorems · Theorem · number theory

ThreeGPFree.le_mulRothNumber

∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Monoid α] {s t : Finset α},
  ThreeGPFree ↑s → s ⊆ t → s.card ≤ mulRothNumber t
Defined in
Mathlib.Combinatorics.Additive.AP.Three.Defs
Cited by
6 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

mulRothNumber_map_mul_left · cited by 1mulRothNumber_map_mul_leftIsMulFreimanHom.mulRothNumber_mono · cited by 1IsMulFreimanHom.mulRothNu…ThreeGPFree.mulRothNumber_eq · cited by 1ThreeGPFree.mulRothNumber…mulRothNumber_union_le · cited by 0mulRothNumber_union_leIsMulFreimanIso.mulRothNumber_congr · cited by 0IsMulFreimanIso.mulRothNu…le_mulRothNumber_product · cited by 0le_mulRothNumber_productDFunLike.coe · cited by 62936DFunLike.coeFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeMonoid · cited by 3887MonoidFinset.card · cited by 2327Finset.cardOrderHom · cited by 934OrderHomFinset.card_le_card · cited by 118Finset.card_le_cardThreeGPFree · cited by 29ThreeGPFreemulRothNumber · cited by 13mulRothNumberNat.le_findGreatest · cited by 6Nat.le_findGreatestThreeGPFree.le_mulRothNumberCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.