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Theorems · Theorem · logic and foundations

IsLinearSet.of_fg

∀ {M : Type u_1} [inst : AddCommMonoid M] {P : AddSubmonoid M}, P.FG → IsLinearSet ↑P
Defined in
Mathlib.ModelTheory.Arithmetic.Presburger.Semilinear.Defs
Cited by
2 results in Mathlib
Foundations
Depth 74 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.

IsLinearSet.univ · cited by 1IsLinearSet.univIsSemilinearSet.of_fg · cited by 0IsSemilinearSet.of_fgAddCommMonoid · cited by 12281AddCommMonoidSetLike.coe · cited by 8199SetLike.coeAddSubmonoid · cited by 1178AddSubmonoidzero_vadd · cited by 95zero_vaddAddSubmonoid.FG · cited by 36AddSubmonoid.FGIsLinearSet · cited by 28IsLinearSetisLinearSet_iff_exists_fg_eq_vadd · cited by 1isLinearSet_iff_exists_fg…IsLinearSet.of_fgCITED BYCITES

Cites7

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

Cited by2

Results whose statement or proof uses this declaration.