As shown in the figure, △ ABC and △ ade are equilateral triangles, and point D is on BC, CF ‖ de intersects AB with F. please explain the size relationship between CF and de

As shown in the figure, △ ABC and △ ade are equilateral triangles, and point D is on BC, CF ‖ de intersects AB with F. please explain the size relationship between CF and de

CF=DE
It is proved that let the intersection of CF and ad be g
∵△ ade is an equilateral triangle, ∠ ade = 60 ° and CF ‖ De
∴∠AGF=60°
∵∠AGF=∠DAC+∠ACF=60°,∠BAD+∠DAC=60°
∴∠BAD=∠ACF
And ∵ ∠ B = ∠ BAC and ab = AC
The ∧ bad is equal to ∧ ACF
∴AD=CF
And ∵ ad = De
∴CF=DE