Theorems · Theorem · number theory
ZMod.unitsMap_surjective
∀ {n m : ℕ} [hm : NeZero m] (h : n ∣ m), Function.Surjective ⇑(ZMod.unitsMap h)- Defined in
- Mathlib.Data.ZMod.Units
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites40
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetproof · cited by 13,712
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- add_zeroproof · cited by 2,707
- Finset.prodproof · cited by 2,356
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.Primeproof · cited by 2,059
- Units.valproof · cited by 1,966
- add_commproof · cited by 1,535
- map_mulproof · cited by 1,137
- ZModstatement and proof · cited by 1,024
Cited by7
Results whose statement or proof uses this declaration.
- DirichletCharacter.changeLevel_injectiveproof · cited by 5
- DirichletCharacter.factorsThrough_iff_ker_unitsMapproof · cited by 4
- ZMod.isCyclic_units_of_prime_powproof · cited by 2
- ZMod.isCyclic_units_two_pow_iffproof · cited by 2
- ZMod.isCyclic_units_four_mul_iffproof · cited by 1
- ArithmeticFunction.carmichael_dvdproof · cited by 1
- ZMod.eq_unit_mul_divisorproof · cited by 1