Theorems · Theorem · combinatorics

Finset.pluennecke_petridis_inequality_mul

∀ {G : Type u_1} [inst : DecidableEq G] [inst_1 : Group G] {A B : Finset G} (C : Finset G),
  (∀ A' ⊆ A, (A * B).card * A'.card ≤ (A' * B).card * A.card) → (C * A * B).card * A.card ≤ (A * B).card * (C * A).card

Defined in

Mathlib.Combinatorics.Additive.PluenneckeRuzsa

Cited by

1 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqGroup