Theorems · Theorem · group theory
MonoidHom.map_mrange
∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : MulOneClass M] [inst_1 : MulOneClass N] [inst_2 : MulOneClass P]
(g : N →* P) (f : M →* N), Submonoid.map g (MonoidHom.mrange f) = MonoidHom.mrange (g.comp f)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- MonoidHomstatement and proof · cited by 3,629
- Submonoidstatement · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- MonoidHom.compstatement and proof · cited by 469
- Submonoid.mapstatement and proof · cited by 190
- MonoidHom.mrangestatement and proof · cited by 63
- MonoidHom.mrange_eq_mapproof · cited by 13
- Submonoid.map.congr_simpproof · cited by 9
- Submonoid.map_mapproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Monoid.Coprod.mrange_eqproof · cited by 1
- Submonoid.sup_eq_rangeproof · cited by 1