Theorems · Theorem · number theory
ZMod.coe_int_isUnit_iff_isCoprime
∀ (n : ℤ) (m : ℕ), IsUnit ↑n ↔ IsCoprime (↑m) n
- Defined in
- Mathlib.Data.ZMod.Units
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- Nat.cast_zeroproof · cited by 1,870
- IsUnitstatement and proof · cited by 1,602
- eq_or_neproof · cited by 1,117
- ZModstatement and proof · cited by 1,024
- IsCoprimestatement and proof · cited by 321
- ZMod.valproof · cited by 159
- isCoprime_commproof · cited by 17
- Int.isCoprime_iff_gcd_eq_oneproof · cited by 16
- ZMod.val_coe_unit_coprimeproof · cited by 6
- ZMod.val_intCastproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- DirichletCharacter.apply_ne_zero_iffproof · cited by 2
- Nat.forall_exists_prime_gt_and_zmodEqproof · cited by 1