Theorems · Theorem · number theory
ZMod.coe_int_mul_val_inv
∀ {n : ℕ} [NeZero n] {m : ℤ}, IsCoprime m ↑n → ↑m * ↑(↑m)⁻¹.val = 1- Defined in
- Mathlib.Data.ZMod.Units
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModstatement and proof · cited by 1,024
- IsCoprimestatement and proof · cited by 321
- ZMod.valstatement · cited by 159
- ZMod.natCast_zmod_valproof · cited by 29
- ZMod.coe_int_mul_inv_eq_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.coe_int_val_inv_mulproof · cited by 0