Theorems · Theorem · number theory
ZMod.coe_int_inv_mul_eq_one
∀ {n : ℕ} {x : ℤ}, IsCoprime x ↑n → (↑x)⁻¹ * ↑x = 1- Defined in
- Mathlib.Data.ZMod.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- ZModstatement and proof · cited by 1,024
- IsCoprimestatement and proof · cited by 321
- ZMod.coe_int_mul_inv_eq_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.unitOfIsCoprimeproof · cited by 4