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In the case of is_set, the definition can be changed to:
/// Defines a set relation from a set `x[0]` to potential members `a` and `b`.////// `x[1]` is a propositional type storing equivalences.pubfnis_set(x:[u64;2],a:u64,b:u64) -> u64{imply(and(imply(a, x[0]),imply(b, x[0])),imply(imply(eq(a, b), x[1]),imply(eq(qubit(a),qubit(b)), x[1])))}
Currently,
is_prop
,is_set
etc. doesn't satisfy type checking, because the following is not provable:This might be thought of as:
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