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Translation to mu-calculus

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Was this obtained by converting from EGF(a|b) to EGEF(a|b)? What would the intermediate step be? My solution varies a bit from the given solution.

in * TF "Emb. Sys. and Rob." by (160 points)

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It is derived from νy.<>μx.(y ∧ φ ∨ <>x) (see page 41, VRS-05-MuCalculus), but there are also other variants.
by (170k points)

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