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Clearly, one is v 1 and the other is v 2 [l/x] for some l ∈ dom(s). So suppose we are given related continuations G(s ref , s)(int) and arguments

Clearly, one is v 1 and the other is v 2 [l/x…

Consistency Establishing consistent(w↑) is the real meat of the proof

Consistency Establishing consistent(w↑) is the…

G(s ref , s)(unit → unit) and let n 1 , n 2 be arbitrary. After performing a beta step on either side, we need to show

G(s ref , s)(unit → unit) and let n 1 , n 2 be…

H(R)(s ref )(s) := {(∅, s)}

H(R)(s ref )(s) := {(∅, s)}

It is easy to see that w ∈ LWorld In particular, w.L and w.H are monotone as required. Note that stable(w) (the dependency is vacuous) and that inhabited(w↑) for s 0 = ∅

It is easy to see that w ∈ LWorld In particular…

w↑) and consider two functions related by w↑.L(G) at a state (s ref , s)