Theorems · Theorem · logic and foundations
IsLinearSet.add
∀ {M : Type u_1} [inst : AddCommMonoid M] {s₁ s₂ : Set M}, IsLinearSet s₁ → IsLinearSet s₂ → IsLinearSet (s₁ + s₂)- 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.
Cites12
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.coeproof · cited by 8,199
- HVAdd.hVAddproof · cited by 1,820
- Set.Finiteproof · cited by 1,814
- Set.addstatement · cited by 338
- AddSubmonoid.closureproof · cited by 224
- Set.Finite.unionproof · cited by 74
- IsLinearSetstatement and proof · cited by 28
- AddSubmonoid.closure_unionproof · cited by 10
- AddSubmonoid.coe_supproof · cited by 2
- vadd_add_vaddproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsSemilinearSet.addproof · cited by 2