Theorems · Theorem · number theory
Finset.sum_sub_sum_mem_addSpan
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : DecidableEq α] [inst_2 : Fintype α] {s t u : Finset α},
t ⊆ s → u ⊆ s → ∑ a ∈ t, a - ∑ a ∈ u, a ∈ s.addSpan- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement and proof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- sub_eq_add_negproof · cited by 1,023
- sub_selfproof · cited by 996
- sub_zeroproof · cited by 938
- one_ne_zeroproof · cited by 885
- Set.indicatorproof · cited by 723
- zero_subproof · cited by 335
Cited by1
Results whose statement or proof uses this declaration.
- Finset.exists_subset_addSpan_card_le_of_forall_addDissociatedproof · cited by 0