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Theorems · Theorem · number theory

Finset.addEnergy_mono

∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Add α] {s₁ s₂ t₁ t₂ : Finset α},
  s₁ ⊆ s₂ → t₁ ⊆ t₂ → s₁.addEnergy t₁ ≤ s₂.addEnergy t₂
Defined in
Mathlib.Combinatorics.Additive.Energy
Cited by
2 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqAdd
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Finset.addEnergy_mono_left · cited by 0Finset.addEnergy_mono_leftFinset.addEnergy_mono_right · cited by 0Finset.addEnergy_mono_rig…Finset · cited by 13712FinsetFinset.card_le_card · cited by 118Finset.card_le_cardFinset.addEnergy · cited by 21Finset.addEnergyFinset.product_subset_product · cited by 11Finset.product_subset_pro…Finset.filter_subset_filter · cited by 11Finset.filter_subset_filt…Finset.addEnergy_monoCITED BYCITES

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