Theorems · Theorem · combinatorics

Finset.card_smul_inter_smul

∀ {G : Type u_1} [inst : Group G] [inst_1 : DecidableEq G] (A B : Finset G) (x y : G),
  (x • A ∩ y • B).card = A.convolution B⁻¹ (x⁻¹ * y)

Defined in

Mathlib.Combinatorics.Additive.Convolution

Cited by

3 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupDecidableEq