Theorems · Theorem · combinatorics
Finset.vadd_finset_subsetSum_subset_subsetSum_insert
∀ {M : Type u_1} [inst : DecidableEq M] [inst_1 : AddCommMonoid M] {A : Finset M} {a : M},
a ∉ A → a +ᵥ A.subsetSum ⊆ (insert a A).subsetSum- Defined in
- Mathlib.Combinatorics.Additive.SubsetSum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddCommMonoid
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
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumproof · cited by 5,195
- HVAdd.hVAddstatement and proof · cited by 1,820
- Finset.sum_insertproof · cited by 196
- Finset.vaddFinsetstatement · cited by 70
- Finset.subsetSumstatement and proof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Finset.card_add_card_subsetSum_lt_card_subsetSum_insert_maxproof · cited by 1