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Proof step 95 from proof hasSharing-put-index-refval (previous step)

(st[r0 -- i ', refval(r1)][r0 -- (sks1 + i ' ' + sks)]) = refval(r1), st[r0 -- _type] .type = mkarraytype(ty), st[r0 -- sks1] = refval(r0), fits(r0, sks1 + i ' ' + sks, st), validref(str, r1, ty, st), disjoint(str, r0 ' + r1 ', st), 0 < st[r0 -- _length] .intval, 0 ≤ i, i < st[r0 -- _length] .intval, ∀ sks0. sks0 + i ' ' ⊑ sks1 → st[r0 -- sks0] .refval ≠ r0 ⊦ sks1 + i ' ' + sks = i ' ', r1 = jvmref, r0 = r1, r0 = jvmref, hasSharing(r0, st), hasSharing(r1, st), junkref(str, r0, st), ∃ sks0, sks2. sks1 + i ' ' + sks = sks0 + i ' ' + sks2 ∧ st[r0 -- sks0] .refval = r0 ∧ (∀ sks3. sks3 + i ' ' ⊑ sks0 → st[r0 -- sks3] .refval ≠ r0)

User applied rule exists right

And obtained the following new goals

Proof step 94:
(st[r0 -- i ', refval(r1)][r0 -- (sks1 + i ' ' + sks)]) = refval(r1), st[r0 -- _type] .type = mkarraytype(ty), st[r0 -- sks1] = refval(r0), fits(r0, sks1 + i ' ' + sks, st), validref(str, r1, ty, st), disjoint(str, r0 ' + r1 ', st), 0 < st[r0 -- _length] .intval, 0 ≤ i, i < st[r0 -- _length] .intval, ∀ sks0. sks0 + i ' ' ⊑ sks1 → st[r0 -- sks0] .refval ≠ r0 ⊦ sks1 + i ' ' + sks = i ' ', r1 = jvmref, r0 = r1, r0 = jvmref, hasSharing(r0, st), hasSharing(r1, st), junkref(str, r0, st), sks1 + i ' ' + sks = sks1 + i ' ' + sks ∧ st[r0 -- sks1] .refval = r0 ∧ (∀ sks3. sks3 + i ' ' ⊑ sks1 → st[r0 -- sks3] .refval ≠ r0)

Rule argument

[EXRARG : pos: right 8, [extquanttermlist: (sks1, sks) abort:F , discard:T , computed:T ]]

Additional information

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