Theorems · Theorem · logic and foundations
IsLinearSet.singleton
∀ {M : Type u_1} [inst : AddCommMonoid M] (a : M), IsLinearSet {a}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coeproof · cited by 8,199
- add_zeroproof · cited by 2,707
- HVAdd.hVAddproof · cited by 1,820
- IsLinearSetstatement · cited by 28
- AddSubmonoid.closure_emptyproof · cited by 6
- Set.vadd_set_singletonproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- IsSemilinearSet.singletonproof · cited by 1