Theorems · Theorem · group theory
Monoid.CoprodI.iSup_mrange_of
∀ {ι : Type u_1} {M : ι → Type u_2} [inst : (i : ι) → Monoid (M i)], ⨆ i, MonoidHom.mrange Monoid.CoprodI.of = ⊤- Defined in
- Mathlib.GroupTheory.CoprodI
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Top.topstatement and proof · cited by 9,680
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Submonoidstatement · cited by 3,086
- iSupstatement · cited by 2,415
- MonoidHom.idproof · cited by 323
- MonoidHom.mrangestatement · cited by 63
- Monoid.CoprodIstatement and proof · cited by 52
- Monoid.CoprodI.ofstatement and proof · cited by 45
- Monoid.CoprodI.liftproof · cited by 21
- MonoidHom.mrange_idproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Monoid.CoprodI.mclosure_iUnion_range_ofproof · cited by 1