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Theorems · Definition · number theory

Finset.addConst

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

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

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

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
  • AddGroupstatement and proof · cited by 4,410
  • Finset.cardproof · cited by 2,327
  • NNRatstatement · cited by 523

Cited by17

Results whose statement or proof uses this declaration.