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Theorems · Definition · logic and foundations

FirstOrder.Language.presburger.sum

{α : Type u_1} →
  {β : Type u_2} → Finset β → (β → FirstOrder.Language.presburger.Term α) → FirstOrder.Language.presburger.Term α

Summation over a finite set of terms in Presburger arithmetic. It is defined via choice, so the result only makes sense when the structure satisfies commutativity (see realize_sum).

Defined in
Mathlib.ModelTheory.Arithmetic.Presburger.Basic
Cited by
2 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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FirstOrder.Language.presburger.realize_sum · cited by 1presburger.realize_sumIsLinearSet.definable · cited by 1IsLinearSet.definableFinset · cited by 13712FinsetFirstOrder.Language.Term · cited by 166Language.TermFinset.toList · cited by 34Finset.toListFirstOrder.Language.presburger · cited by 21Language.presburgerpresburger.sumCITED BYCITES

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