Theorems · Theorem · number theory
ZMod.val_coe_unit_coprime
∀ {n : ℕ} (u : (ZMod n)ˣ), (↑u).val.Coprime n- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement and proof · cited by 2,804
- Nat.cast_oneproof · cited by 2,501
- Units.valstatement and proof · cited by 1,966
- ZModstatement and proof · cited by 1,024
- ZMod.valstatement and proof · cited by 159
- mul_inv_cancelproof · cited by 128
- Units.val_oneproof · cited by 39
- Units.ext_iffproof · cited by 29
- ZMod.natCast_zmod_valproof · cited by 29
- Units.val_mulproof · cited by 22
- Int.units_eq_one_orproof · cited by 20
- ZMod.natCast_eq_natCast_iffproof · cited by 13
Cited by7
Results whose statement or proof uses this declaration.
- ZMod.unitsMap_surjectiveproof · cited by 7
- ZMod.isUnit_iff_coprimeproof · cited by 7
- ZMod.coe_int_isUnit_iff_isCoprimeproof · cited by 2
- ZMod.inv_coe_unitproof · cited by 1
- ZMod.unitsEquivCoprimeproof · cited by 1
- IsPrimitiveRoot.associated_sub_one_map_sub_oneproof · cited by 1
- IsPrimitiveRoot.associated_map_sub_one_map_sub_oneproof · cited by 0