Theorems · Theorem · group theory
Monoid.Coprod.mrange_eq
∀ {M : Type u_1} {N : Type u_2} {P : Type u_5} [inst : MulOneClass M] [inst_1 : MulOneClass N] [inst_2 : MulOneClass P]
(f : Monoid.Coprod M N →* P),
MonoidHom.mrange f = MonoidHom.mrange (f.comp Monoid.Coprod.inl) ⊔ MonoidHom.mrange (f.comp Monoid.Coprod.inr)- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 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.
- MonoidHomstatement and proof · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- MonoidHom.compstatement and proof · cited by 469
- Submonoid.mapproof · cited by 190
- Monoid.Coprodstatement and proof · cited by 109
- MonoidHom.mrangestatement and proof · cited by 63
- Monoid.Coprod.inlstatement and proof · cited by 48
- Monoid.Coprod.inrstatement and proof · cited by 47
- MonoidHom.mrange_eq_mapproof · cited by 13
- Submonoid.map_supproof · cited by 4
- MonoidHom.map_mrangeproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Monoid.Coprod.mrange_liftproof · cited by 0