Theorems · Definition · number theory
Finset.mulConst
{G : Type u_1} → [Group G] → [DecidableEq G] → Finset G → Finset G → ℚ≥0The 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.
- 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.
- Finset.mulConst_mul_cardstatement and proof · cited by 4
- Finset.mulConst_empty_rightstatement · cited by 2
- Finset.one_le_mulConststatement · cited by 2
- Finset.mulConst_empty_leftstatement · cited by 1
- Finset.mulConst_inv_rightstatement · cited by 1
- Finset.card_mul_mulConststatement and proof · cited by 1
- Finset.mulConst.congr_simpstatement and proof · cited by 0
- Finset.cast_mulConststatement · cited by 0
- Finset.cast_mulConst_mul_cardstatement and proof · cited by 0
- Finset.card_mul_cast_mulConststatement and proof · cited by 0
- Finset.mulConst_inv_leftstatement · cited by 0
- Finset.mulConst_le_cardstatement · cited by 0