Theorems · Theorem · number theory
ZMod.coe_mul_inv_eq_one
∀ {n : ℕ} (x : ℕ), x.Coprime n → ↑x * (↑x)⁻¹ = 1- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, 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.
- Nat.cast_oneproof · cited by 2,501
- ZModstatement and proof · cited by 1,024
- ZMod.val_natCastproof · cited by 18
- ZMod.mul_inv_eq_gcdproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- ZMod.unitOfCoprimeproof · cited by 20
- ZMod.mul_val_invproof · cited by 3
- ZMod.coe_int_mul_inv_eq_oneproof · cited by 2