Theorems · Theorem · group theory
Units.coeHom_apply
∀ {M : Type u} [inst : Monoid M] (x : Mˣ), (Units.coeHom M) x = ↑x- Defined in
- Mathlib.Algebra.Group.Units.Hom
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 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.
- DFunLike.coestatement · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- Units.coeHomstatement · cited by 44
Cited by4
Results whose statement or proof uses this declaration.
- ZMod.isCyclic_units_of_prime_powproof · cited by 2
- ArithmeticFunction.prod_eq_iff_prod_pow_moebius_eq_of_nonzeroproof · cited by 1
- ArithmeticFunction.prod_eq_iff_prod_pow_moebius_eq_on_of_nonzeroproof · cited by 0
- IsCyclotomicExtension.Rat.galEquivZMod_stabilizerproof · cited by 0