Theorems · Theorem · logic and foundations
IsSemilinearSet.exists_fg_eq_subtypeVal
∀ {M : Type u_1} [inst : AddCommMonoid M] {s : Set M},
IsSemilinearSet s → ∃ P s', P.FG ∧ IsSemilinearSet s' ∧ s = Subtype.val '' s'- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- AddCommMonoidstatement and proof · cited by 12,281
- Set.Elemproof · cited by 7,166
- Set.imagestatement and proof · cited by 5,609
- Finiteproof · cited by 3,029
- Set.iUnionproof · cited by 2,483
- iSupproof · cited by 2,415
- Set.Finiteproof · cited by 1,814
- AddSubmonoidstatement and proof · cited by 1,178
- Set.image_congrproof · cited by 533
- Set.sUnionproof · cited by 392
Cited by1
Results whose statement or proof uses this declaration.
- IsSemilinearSet.exists_fg_eq_subtypeVal₂proof · cited by 2