Consider the relation v in the set Prop(A) given by P ~ I if and only if F P → 9 , or equivalently, if for every assignment of truth t we have t(P) = t(q) A. Show that ~ is an equivalence relation. P = B. Determine the cardinality of Prop(A)/ = n if we assume that|-4|

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Consider the relation v in the set Prop(A) given by P ~ I if and only if F P → 9 , or equivalently, if for every assignment of truth t we have t(P) = t(q)
A. Show that ~ is an equivalence relation.
P =
B. Determine the cardinality of
Prop(A)/
= n
if we assume that|-4|
Transcribed Image Text:Consider the relation v in the set Prop(A) given by P ~ I if and only if F P → 9 , or equivalently, if for every assignment of truth t we have t(P) = t(q) A. Show that ~ is an equivalence relation. P = B. Determine the cardinality of Prop(A)/ = n if we assume that|-4|
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