Theorems · Theorem · group theory
Finset.sum_sdiff_eq_sum_sdiff_iff
∀ {ι : Type u_1} {M : Type u_4} [inst : DecidableEq ι] [inst_1 : AddCancelCommMonoid M] {s t : Finset ι} {f : ι → M},
∑ i ∈ s \ t, f i = ∑ i ∈ t \ s, f i ↔ ∑ i ∈ s, f i = ∑ i ∈ t, f i- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.sumstatement and proof · cited by 5,195
- AddCancelCommMonoidstatement and proof · cited by 48
- Finset.sum_unionproof · cited by 40
- Finset.union_commproof · cited by 25
- disjoint_sdiff_self_leftproof · cited by 21
- Finset.sdiff_union_self_eq_unionproof · cited by 5
- eq_iff_eq_of_add_eq_addproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- not_addDissociated_iff_exists_disjointproof · cited by 1
- Finset.sum_sdiff_ne_sum_sdiff_iffproof · cited by 0