Theorems · Theorem · number theory
ZMod.mul_val_inv
∀ {m n : ℕ}, m.Coprime n → ↑m * ↑(↑m)⁻¹.val = 1- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- eq_or_neproof · cited by 1,117
- ZModstatement and proof · cited by 1,024
- ZMod.valstatement and proof · cited by 159
- ZMod.natCast_zmod_valproof · cited by 29
- ZMod.inv_oneproof · cited by 2
- ZMod.coe_mul_inv_eq_oneproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- nsmul_zmod_val_inv_nsmulproof · cited by 1
- pow_zmod_val_inv_powproof · cited by 1
- ZMod.val_inv_mulproof · cited by 0