Degrees of freedom ezANOVA after sphericity correction

I've set up an ANOVA with the function ezANOVA from the package ez. There are sphericity corrections and I see different p-values because of the different degrees of freedom. But how can I see the new degrees of freedom?

This is an output from a predefined ANOVA:

$ANOVA
           Effect DFn DFd           F            p p<.05        ges
2           group   1  18   18.430592 4.377562e-04     * 0.07633358
3             cue   3  54  516.605213 1.005518e-39     * 0.89662286
5           flank   2  36 1350.598810 1.386546e-34     * 0.92710583
4       group:cue   3  54    2.553236 6.497492e-02       0.04110445
6     group:flank   2  36    8.768499 7.900829e-04     * 0.07627434
7       cue:flank   6 108    5.193357 9.938494e-05     * 0.11436699
8 group:cue:flank   6 108    6.377225 9.012515e-06     * 0.13686958

$`Mauchly's Test for Sphericity`
           Effect         W         p p<.05
3             cue 0.7828347 0.5366835      
4       group:cue 0.7828347 0.5366835      
5           flank 0.8812738 0.3415406      
6     group:flank 0.8812738 0.3415406      
7       cue:flank 0.1737053 0.1254796      
8 group:cue:flank 0.1737053 0.1254796      

$`Sphericity Corrections`
           Effect       GGe        p[GG] p[GG]<.05       HFe        p[HF] p[HF]<.05
3             cue 0.8652559 1.115029e-34         * 1.0239520 1.005518e-39         *
4       group:cue 0.8652559 7.472046e-02           1.0239520 6.497492e-02          
5           flank 0.8938738 3.763312e-31         * 0.9858964 3.964046e-34         *
6     group:flank 0.8938738 1.297752e-03         * 0.9858964 8.438369e-04         *
7       cue:flank 0.6022111 1.546166e-03         * 0.7721473 4.745714e-04         *
8 group:cue:flank 0.6022111 3.424499e-04         * 0.7721473 7.170939e-05         *

With Greenhouse-Geisser are the new degrees of freedom for cue simply 0.8652559 times the original dfs 3 and 54 or is it more difficult?