ivy/test/proving7.ivy

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#lang ivy1.6
type t
relation succ(X:t,Y:t)
schema existsE = {
type t
relation p(X:t)
property exists X. p(X)
fresh function n:t
#----------------------
property p(n)
}
axiom exists Y. succ(X,Y)
function next(X:t):t
property succ(X,next(X))
proof existsE with n = next(X), p(Y) = succ(X,Y)