Theorems · Theorem · group theory

Finset.sum_sdiff_ne_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

Defined in: Mathlib.Algebra.BigOperators.Group.Finset.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DecidableEq AddCancelCommMonoid

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Finsetstatement and proof · cited by 13,712
Finset.sumstatement · cited by 5,195
Iff.notproof · cited by 489
AddCancelCommMonoidstatement and proof · cited by 48
Finset.sum_sdiff_eq_sum_sdiff_iffproof · cited by 2

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