Theorems · Theorem · group theory
AddSubmonoid.sup_eq_range
∀ {N : Type u_4} [inst : AddCommMonoid N] (s t : AddSubmonoid N),
s ⊔ t = AddMonoidHom.mrange (s.subtype.coprod t.subtype)- 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.mapproof · cited by 99
- AddMonoidHom.mrangestatement and proof · cited by 61
- AddMonoidHom.inlproof · cited by 29
- AddMonoidHom.inrproof · cited by 29
- AddSubmonoid.subtypestatement and proof · cited by 28
- AddMonoidHom.mrange_eq_mapproof · cited by 15
- AddMonoidHom.coprodstatement and proof · cited by 7
- AddSubmonoid.map_supproof · cited by 4
- AddSubmonoid.mrange_subtypeproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.mem_supproof · cited by 8