Theorems · Theorem · logic and foundations
IsSemilinearSet.sdiff
∀ {M : Type u_1} [inst : AddCommMonoid M] {s₁ s₂ : Set M},
IsSemilinearSet s₁ → IsSemilinearSet s₂ → IsSemilinearSet (s₁ \ s₂)Semilinear sets are closed under set difference.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 103 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.
Cites21
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
- Top.topproof · cited by 9,680
- Set.imageproof · cited by 5,609
- AddMonoidHomproof · cited by 3,230
- AddSubmonoidproof · cited by 1,178
- Subtype.val_injectiveproof · cited by 232
- AddMonoidHom.mrangeproof · cited by 61
- IsSemilinearSetstatement and proof · cited by 44
- Set.image_preimage_eqproof · cited by 38
- AddSubmonoid.FGproof · cited by 36
Cited by1
Results whose statement or proof uses this declaration.
- IsSemilinearSet.complproof · cited by 1