Theorems · Theorem · group theory
AddMonoid.Coprod.mrange_inl_sup_mrange_inr
∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N],
AddMonoidHom.mrange AddMonoid.Coprod.inl ⊔ AddMonoidHom.mrange AddMonoid.Coprod.inr = ⊤- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClassAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.closureproof · cited by 224
- AddMonoid.Coprodstatement and proof · cited by 104
- AddMonoidHom.mrangestatement and proof · cited by 61
- AddMonoid.Coprod.inlstatement and proof · cited by 42
Cited by2
Results whose statement or proof uses this declaration.
- AddMonoid.Coprod.mrange_eqproof · cited by 1
- AddMonoid.Coprod.codisjoint_mrange_inl_mrange_inrproof · cited by 0