Theorems · Theorem · group theory
AddSubmonoid.coe_sup
∀ {N : Type u_7} [inst : AddCommMonoid N] (H K : AddSubmonoid N), ↑(H ⊔ K) = ↑H + ↑K- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 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.
Cites9
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.coestatement · cited by 8,199
- Set.extproof · cited by 2,266
- AddSubmonoidstatement and proof · cited by 1,178
- Set.addstatement · cited by 338
- SetLike.mem_coeproof · cited by 302
- Set.mem_addproof · cited by 25
- AddSubmonoid.mem_supproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- IsLinearSet.addproof · cited by 1
- IsSemilinearSet.closureproof · cited by 0