Theorems · Definition · number theory
Finset.addConst
{G : Type u_1} → [AddGroup G] → [DecidableEq G] → Finset G → Finset G → ℚ≥0The 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.
- 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.
- Finset.addConst_mul_cardstatement and proof · cited by 4
- Finset.nonneg_addConststatement · cited by 2
- Finset.addConst_empty_rightstatement · cited by 2
- Finset.card_mul_addConststatement and proof · cited by 1
- Finset.addConst_empty_leftstatement · cited by 1
- Finset.addConst_neg_rightstatement · cited by 1
- Finset.cast_addConststatement · cited by 0
- Finset.cast_addConst_mul_cardstatement and proof · cited by 0
- Finset.card_mul_cast_addConststatement and proof · cited by 0
- Finset.nonneg_addConst_selfstatement · cited by 0
- Finset.subConst_le_addConst_sqstatement and proof · cited by 0
- Finset.subConst_neg_leftstatement · cited by 0