Theorems · Theorem · number theory
Finset.mulEnergy_comm
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : CommMonoid α] (s t : Finset α), s.mulEnergy t = t.mulEnergy s- Defined in
- Mathlib.Combinatorics.Additive.Energy
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Equiv.symmproof · cited by 3,681
- Finset.cardproof · cited by 2,327
- CommMonoidstatement and proof · cited by 2,264
- mul_commproof · cited by 2,262
- SProd.sprodproof · cited by 1,750
- Finset.filterproof · cited by 949
- Finset.mapproof · cited by 747
- Equiv.toEmbeddingproof · cited by 254
- Finset.filter_congrproof · cited by 167
- Finset.card_mapproof · cited by 114
Cited by1
Results whose statement or proof uses this declaration.
- Finset.mulEnergy_univ_rightproof · cited by 0