Theorems · Theorem · group theory
Submonoid.map_sup
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] {F : Type u_4} [inst_2 : FunLike F M N]
[mc : MonoidHomClass F M N] (S T : Submonoid M) (f : F),
Submonoid.map f (S ⊔ T) = Submonoid.map f S ⊔ Submonoid.map f T- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement and proof · cited by 3,086
- FunLikestatement and proof · cited by 2,560
- MulOneClassstatement and proof · cited by 1,018
- MonoidHomClassstatement and proof · cited by 244
- Submonoid.mapstatement · cited by 190
- GaloisConnection.l_supproof · cited by 81
- Submonoid.gc_map_comapproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- Monoid.Coprod.mrange_eqproof · cited by 1
- Submonoid.sup_eq_rangeproof · cited by 1
- Submonoid.codisjoint_mapproof · cited by 0
- Submonoid.smul_supproof · cited by 0