Theorems · Theorem · group theory
AddMonoid.Coprod.closure_range_inl_union_inr
∀ {G : Type u_1} {H : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup H],
AddSubgroup.closure (Set.range ⇑AddMonoid.Coprod.inl ∪ Set.range ⇑AddMonoid.Coprod.inr) = ⊤- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Top.topstatement · cited by 9,680
- Set.rangestatement · cited by 4,705
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- AddSubgroup.closurestatement · cited by 156
- AddMonoid.Coprodstatement · cited by 104
- AddMonoid.Coprod.inrstatement · cited by 42
- AddMonoid.Coprod.inlstatement · cited by 42
- AddMonoid.Coprod.mclosure_range_inl_union_inrproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.Coprod.range_inl_sup_range_inrproof · cited by 2