Library Stdlib.micromega.ZifyNat

From Stdlib Require Import BinInt Znat.
From Stdlib.micromega Require Import ZifyClasses ZifyInst Zify SatDivMod.

Ltac zify_convert_to_euclidean_division_equations_flag ::= constr:(true).

#[local]
Existing Instance Inj_nat_Z.

#[global]
Instance Op_mod : BinOp Nat.modulo :=
  {| TBOp := Z.modulo ; TBOpInj := Nat2Z.inj_mod |}.
Add Zify BinOp Op_mod.

#[global]
Instance Op_div : BinOp Nat.div :=
  {| TBOp := Z.div ; TBOpInj := Nat2Z.inj_div |}.
Add Zify BinOp Op_div.

#[global]
Instance Op_pow : BinOp Nat.pow :=
  {| TBOp := Z.pow ; TBOpInj := Nat2Z.inj_pow |}.
Add Zify BinOp Op_pow.