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Theorems · Theorem · logic and foundations

IsSemilinearSet.of_finite

∀ {M : Type u_1} [inst : AddCommMonoid M] {s : Set M}, s.Finite → IsSemilinearSet s
Defined in
Mathlib.ModelTheory.Arithmetic.Presburger.Semilinear.Defs
Cited by
1 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Nat.isSemilinearSet_iff_ultimately_periodic · cited by 1Nat.isSemilinearSet_iff_u…Set · cited by 53352SetAddCommMonoid · cited by 12281AddCommMonoidSet.Finite · cited by 1814Set.FiniteIsSemilinearSet · cited by 44IsSemilinearSetSet.biUnion_of_singleton · cited by 43Set.biUnion_of_singletonIsSemilinearSet.biUnion · cited by 5IsSemilinearSet.biUnionIsSemilinearSet.of_finiteCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.