Is it OK to reuse IEnumerable collections more than once?

Basically I am wondering if it's ok to use an enumeration more than once in code subsequently. Whether you break early or not, would the enumeration always reset in every foreach case below, so giving us consistent enumeration from start to end of the effects collection?

var effects = this.EffectsRecursive;

foreach (Effect effect in effects)
{
...
}

foreach (Effect effect in effects)
{
    if(effect.Name = "Pixelate")
        break;
}

foreach (Effect effect in effects)
{
...
}

EDIT: The implementation of EffectsRecursive is this:

public IEnumerable<Effect> Effects
{
    get
    {
        for ( int i = 0; i < this.IEffect.NumberOfChildren; ++i )
        {
            IEffect effect = this.IEffect.GetChildEffect ( i );
            if ( effect != null )
                yield return new Effect ( effect );
        }
    }
}

public IEnumerable<Effect> EffectsRecursive
{
    get
    {
        foreach ( Effect effect in this.Effects )
        {
            yield return effect;
            foreach ( Effect seffect in effect.ChildrenRecursive )
                yield return seffect;
        }
    }
}