Theorems · Theorem · group theory
AddMonoid.Coprod.range_inl_sup_range_inr
∀ {G : Type u_1} {H : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup H],
AddMonoid.Coprod.inl.range ⊔ AddMonoid.Coprod.inr.range = ⊤- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Top.topstatement · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Set.rangeproof · cited by 4,705
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.closureproof · cited by 156
- AddMonoidHom.rangestatement and proof · cited by 142
- AddMonoid.Coprodstatement and proof · cited by 104
- AddMonoid.Coprod.inlstatement and proof · cited by 42
- AddMonoid.Coprod.inrstatement and proof · cited by 42
Cited by2
Results whose statement or proof uses this declaration.
- AddMonoid.Coprod.range_eqproof · cited by 1
- AddMonoid.Coprod.codisjoint_range_inl_range_inrproof · cited by 0