[tlaplus] Q about the existential quantifier

[ns <nedsri1988@xxxxxxxxx>]

hello, the Specifying Systems book says that a regular existentially quantified variable functions as a constant. And from the definition this does seem to be the case

    \sigma |= (\E x: F) == \E x: (\sigma |= F)

where \sigma is a trace. However, if I have 

    [] (\E x: F)

its now possible for each state of \sigma to have a different value of x and satisfy this formula. But this now seems closer to a temporal existential. So would it be equivalent to 

    \EE x: [] F

?

thanks

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