Theorems · Definition · group theory
Units.coeHom
(M : Type u) → [inst : Monoid M] → Mˣ →* M
Coercion Mˣ → M as a monoid homomorphism.
- Defined in
- Mathlib.Algebra.Group.Units.Hom
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- Units.valproof · cited by 1,966
- Units.val_oneproof · cited by 39
- Units.val_mulproof · cited by 22
Cited by58
Results whose statement or proof uses this declaration.
- Submonoid.unitsproof · cited by 40
- Subgroup.ofUnitsproof · cited by 31
- pinGroupproof · cited by 25
- ValuationSubring.unitGroupproof · cited by 16
- MonoidWithZeroHom.fstproof · cited by 10
- orderOf_unitsproof · cited by 9
- Submonoid.unitsEquivUnitsTypeproof · cited by 8
- MonoidWithZeroHom.sndproof · cited by 8
- Units.val_zpow_eq_zpow_valproof · cited by 7
- map_units_invproof · cited by 5
- Units.coe_prodproof · cited by 5
- Units.coeHom_applystatement · cited by 4