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#lang ivy1.6
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type t
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function f(X:t) : t
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isolate t_theory = {
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object impl = {
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interpret t -> int
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definition f(X) = X + 1
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}
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property [expanding] f(X) > X
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property [transitivity] X:t < Y & Y < Z -> X < Z
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}
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isolate extra = {
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property [prop] f(f(X)) > X
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}
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with t_theory
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