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Proof step 291 from proof hasSharing-put-index-refval (previous step)

(st[r -- i ', refval(r4)][r4 -- (sks1 + i ' ' + sks)]) = refval(r1), st[r -- _type] .type = mkarraytype(ty), st[r -- sks0] = refval(r1), st[r4 -- sks1] = refval(r), 0 < st[r -- _length] .intval, fits(r4, sks1 + i ' ' + sks, st), disjoint(str, r ' + r4 ', st), validref(str, r4, ty, st), fits(r, sks0, st), i < st[r -- _length] .intval, 0 ≤ i, ∀ sks2. sks2 + i ' ' ⊑ sks1 → st[r4 -- sks2] .refval ≠ r ⊦ sks0 = i ' ' + sks1 + i ' ' + sks, r = jvmref, r = r4, r1 = jvmref, sks0 = [], r4 = jvmref, junkref(str, r, st), hasSharing(r4, st), hasSharing(r, st), ∃ sks2, sks3. sks1 + i ' ' + sks = sks2 + i ' ' + sks3 ∧ st[r4 -- sks2] .refval = r ∧ (∀ sks. sks + i ' ' ⊑ sks2 → st[r4 -- sks] .refval ≠ st[r4 -- sks2] .refval), ∃ sks, sks2. sks0 = sks + i ' ' + sks2 ∧ st[r -- sks] .refval = r ∧ (∀ sks2. sks2 + i ' ' ⊑ sks → st[r -- sks2] .refval ≠ r)

User applied rule exists right

And obtained the following new goals

Rule argument

[EXRARG : pos: right 10, [extquanttermlist: (sks1, sks) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sks1, sks)]]