Theorems · Definition · group theory
MulHom.srange
{M : Type u_1} → {N : Type u_2} → [inst : Mul M] → [inst_1 : Mul N] → (M →ₙ* N) → Subsemigroup NThe range of a semigroup homomorphism is a subsemigroup. See Note [range copy pattern].
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 18 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.
- DFunLike.coeproof · cited by 62,936
- Top.topproof · cited by 9,680
- Set.rangeproof · cited by 4,705
- Subsemigroupstatement · cited by 323
- MulHomstatement and proof · cited by 299
- Subsemigroup.mapproof · cited by 51
- Subsemigroup.copyproof · cited by 2
Cited by18
Results whose statement or proof uses this declaration.
- MulHom.srangeRestrictstatement and proof · cited by 3
- MulHom.srange_eq_top_of_surjectivestatement · cited by 2
- MulEquiv.ofLeftInversestatement and proof · cited by 2
- MulHom.coe_srangestatement · cited by 2
- MulHom.srange_eq_mapstatement · cited by 1
- MulHom.srange_eq_top_iff_surjectivestatement · cited by 1
- Subsemigroup.srange_fststatement · cited by 1
- Subsemigroup.srange_sndstatement · cited by 1
- Subsemigroup.map_comap_eqstatement and proof · cited by 1
- MulHom.srangeRestrict_surjectivestatement and proof · cited by 0
- MulHom.srange_mkstatement · cited by 0
- Subsemigroup.range_subtypestatement and proof · cited by 0