Theorems · Theorem · number theory
Finset.le_addEnergy
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Add α] {s t : Finset α}, s.card * t.card ≤ s.addEnergy t- Defined in
- Mathlib.Combinatorics.Additive.Energy
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- SetLike.coeproof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- Finset.cardstatement · cited by 2,327
- SProd.sprodproof · cited by 1,750
- Set.InjOnproof · cited by 543
- SetLike.mem_coeproof · cited by 302
- Finset.coe_filterproof · cited by 49
- Finset.mem_productproof · cited by 48
- Finset.card_productproof · cited by 39
- Set.mem_prodproof · cited by 32
- Finset.addEnergystatement and proof · cited by 21
Cited by2
Results whose statement or proof uses this declaration.
- Finset.addEnergy_posproof · cited by 2
- Finset.le_addEnergy_selfproof · cited by 0