Theorems · Theorem · logic and foundations
IsLinearSet.closure
∀ {M : Type u_1} [inst : AddCommMonoid M] {s : Set M}, IsLinearSet s → IsSemilinearSet ↑(AddSubmonoid.closure s)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 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.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement and proof · cited by 8,199
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- Set.extproof · cited by 2,266
- HVAdd.hVAddproof · cited by 1,820
- Set.Finiteproof · cited by 1,814
- AddSubmonoidstatement · cited by 1,178
- AddMemClass.add_memproof · cited by 229
- AddSubmonoid.closurestatement and proof · cited by 224
- ZeroMemClass.zero_memproof · cited by 162
Cited by1
Results whose statement or proof uses this declaration.
- IsSemilinearSet.closureproof · cited by 0