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Proof step 32 from proof refine-add (previous step)

# ys = # xs + 1, ((ls(rxs, xs) * ls(rys, ys) * del-list(to_delete, n)))(H), ((del-list(to_delete, n) * ls(rys, ys) * ls(rxs, xs)))(H), ((ls(rys, ys) * ls(rxs, xs)))(H1), n < 2, n ≤ 1, n ≤ # xs + # ys ⊦ r = null, rys = null, ys = [], r ∈ H1, ∃ x. # ys = # x ∧ ((ls(rys, x) * ls(r, a ' + xs)))((H1 ++ r)[r, a × rxs])

User applied rule exists right

And obtained the following new goals

Proof step 33:
# ys = # xs + 1, ((ls(rys, ys) * ls(rxs, xs)))(H1), ((del-list(to_delete, n) * ls(rys, ys) * ls(rxs, xs)))(H), ((ls(rxs, xs) * ls(rys, ys) * del-list(to_delete, n)))(H), n < 2, n ≤ # xs + # ys, n ≤ 1 ⊦ r = null, rys = null, ys = [], r ∈ H1, # ys = # ys ∧ ((ls(rys, ys) * ls(r, a ' + xs)))((H1 ++ r)[r, a × rxs])

Rule argument

pos: right 5 terms: ys abort: F discard: T computed: T

Additional information

Used terms: ys