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Theorems · Definition · number theory

Finset.mulConst

{G : Type u_1} → [Group G] → [DecidableEq G] → Finset G → Finset G → ℚ≥0

The doubling constant σₘ[A, B] of two finsets A and B in a group is |A * B| / |A|. The notation σₘ[A, B] is available in scope Combinatorics.Additive.

Defined in
Mathlib.Combinatorics.Additive.DoublingConst
Cited by
18 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupDecidableEq

Around this declaration

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

Cites4

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
  • Groupstatement and proof · cited by 6,238
  • Finset.cardproof · cited by 2,327
  • NNRatstatement · cited by 523

Cited by18

Results whose statement or proof uses this declaration.