Theorems · Theorem · logic and foundations
IsLinearSet.isProperSemilinearSet
∀ {M : Type u_1} [inst : AddCommMonoid M] {s : Set M} [IsCancelAdd M], IsLinearSet s → IsProperSemilinearSet s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidIsCancelAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites49
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
- Finsetproof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coeproof · cited by 8,199
- Finset.sumproof · cited by 5,195
- Set.iUnionproof · cited by 2,483
- Finset.cardproof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- Set.extproof · cited by 2,266
- HVAdd.hVAddproof · cited by 1,820
- Finset.rangeproof · cited by 1,341
- Finset.filterproof · cited by 949
Cited by1
Results whose statement or proof uses this declaration.
- IsSemilinearSet.isProperSemilinearSetproof · cited by 1