Theorems · Theorem · number theory
Finset.addEnergy_univ_left
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : AddCommGroup α] [inst_2 : Fintype α] (t : Finset α),
Finset.univ.addEnergy t = Fintype.card α * t.card ^ 2- Defined in
- Mathlib.Combinatorics.Additive.Energy
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- Finset.cardstatement and proof · cited by 2,327
- SProd.sprodproof · cited by 1,750
- Fintype.cardstatement · cited by 1,386
- Finset.filterproof · cited by 949
- Finset.imageproof · cited by 910
- Finset.extproof · cited by 565
- Set.InjOnproof · cited by 543
Cited by1
Results whose statement or proof uses this declaration.
- Finset.addEnergy_univ_rightproof · cited by 0