Theorems · Theorem · number theory
Finset.addEnergy_empty_right
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Add α] (s : Finset α), s.addEnergy ∅ = 0- Defined in
- Mathlib.Combinatorics.Additive.Energy
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 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.
Cites7
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
- Finset.cardproof · cited by 2,327
- SProd.sprodproof · cited by 1,750
- Finset.filter.congr_simpproof · cited by 47
- Finset.filter_emptyproof · cited by 23
- Finset.addEnergystatement · cited by 21
- Finset.product_emptyproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Finset.addEnergy_pos_iffproof · cited by 2