How to use the IEqualityComparer

If you want a generic solution that creates an IEqualityComparer for your class based on a property (which acts as a key) of that class have a look at this:

public class KeyBasedEqualityComparer<T, TKey> : IEqualityComparer<T>
{
    private readonly Func<T, TKey> _keyGetter;

    public KeyBasedEqualityComparer(Func<T, TKey> keyGetter)
    {
        if (default(T) == null)
        {
            _keyGetter = (x) => x == null ? default : keyGetter(x);
        }
        else
        {
            _keyGetter = keyGetter;
        }
    }

    public bool Equals(T x, T y)
    {
        return EqualityComparer<TKey>.Default.Equals(_keyGetter(x), _keyGetter(y));
    }

    public int GetHashCode(T obj)
    {
        TKey key = _keyGetter(obj);

        return key == null ? 0 : key.GetHashCode();
    }
}

public static class KeyBasedEqualityComparer<T>
{
    public static KeyBasedEqualityComparer<T, TKey> Create<TKey>(Func<T, TKey> keyGetter)
    {
        return new KeyBasedEqualityComparer<T, TKey>(keyGetter);
    }
}

For better performance with structs there isn't any boxing.

Usage is like this:

IEqualityComparer<Class_reglement> equalityComparer =
  KeyBasedEqualityComparer<Class_reglement>.Create(x => x.Numf);

Try This code:

public class GenericCompare<T> : IEqualityComparer<T> where T : class
{
    private Func<T, object> _expr { get; set; }
    public GenericCompare(Func<T, object> expr)
    {
        this._expr = expr;
    }
    public bool Equals(T x, T y)
    {
        var first = _expr.Invoke(x);
        var sec = _expr.Invoke(y);
        if (first != null && first.Equals(sec))
            return true;
        else
            return false;
    }
    public int GetHashCode(T obj)
    {
        return obj.GetHashCode();
    }
}

Example of its use would be

collection = collection
    .Except(ExistedDataEles, new GenericCompare<DataEle>(x=>x.Id))
    .ToList(); 

Your GetHashCode implementation always returns the same value. Distinct relies on a good hash function to work efficiently because it internally builds a hash table.

When implementing interfaces of classes it is important to read the documentation, to know which contract you’re supposed to implement.¹

In your code, the solution is to forward GetHashCode to Class_reglement.Numf.GetHashCode and implement it appropriately there.

Apart from that, your Equals method is full of unnecessary code. It could be rewritten as follows (same semantics, ¼ of the code, more readable):

public bool Equals(Class_reglement x, Class_reglement y)
{
    return x.Numf == y.Numf;
}

Lastly, the ToList call is unnecessary and time-consuming: AddRange accepts any IEnumerable so conversion to a List isn’t required. AsEnumerable is also redundant here since processing the result in AddRange will cause this anyway.

---

¹ Writing code without knowing what it actually does is called cargo cult programming. It’s a surprisingly widespread practice. It fundamentally doesn’t work.

Just code, with implementation of GetHashCode and NULL validation:

public class Class_reglementComparer : IEqualityComparer<Class_reglement>
{
    public bool Equals(Class_reglement x, Class_reglement y)
    {
        if (x is null || y is null))
            return false;

        return x.Numf == y.Numf;
    }

    public int GetHashCode(Class_reglement product)
    {
        //Check whether the object is null 
        if (product is null) return 0;

        //Get hash code for the Numf field if it is not null. 
        int hashNumf = product.hashNumf == null ? 0 : product.hashNumf.GetHashCode();

        return hashNumf;
    }
}

Example: list of Class_reglement distinct by Numf

List<Class_reglement> items = items.Distinct(new Class_reglementComparer());