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Proof step 646 from proof hasSharing-put-index-refval (previous step)

st[r -- _type] .type = mkarraytype(ty), st[r -- sks] = refval(r1), st[r2 -- sks0] = refval(r), (st[r -- i ', refval(r2)][r2 -- sks1]) = refval(r1), (st[r -- i ', refval(r2)][r2 -- sks0]) = refval(r0), 0 ≤ i, i < st[r -- _length] .intval, validref(str, r2, ty, st), fits(r, sks, st), fits(r2, sks0, st), fits(r0, i ' ' + sks1, st[r -- i ', refval(r2)]), 0 < st[r -- _length] .intval, validref(str, r, mkclasstype(`java.lang.Object' .class), st), validref(str, r2, mkclasstype(`java.lang.Object' .class), st), ∀ r3, sks2, r4, sks3. r3 ≠ r ∧ r3 ≠ r2 ∨ r4 ≠ r ∧ r4 ≠ r2 ∨ r3 = r4 ∨ ¬ fits(r3, sks2, st) ∨ ¬ fits(r4, sks3, st) ∨ st[r3 -- sks2] ≠ st[r4 -- sks3] ∨ st[r3 -- sks2] .refval = jvmref ⊦ sks0 = [], r2 = jvmref, sks = [], r1 = jvmref, r = r2, r = jvmref, i ' ' + sks0 + i ' ' + sks1 = sks, sks1 = [], hasSharing(r, st), hasSharing(r2, st), junkref(str, r, st), ∃ sks2, sks4. sks0 = sks2 + i ' ' + sks4 ∧ st[r2 -- sks2] .refval = r ∧ (∀ sks3. sks3 + i ' ' ⊑ sks2 → st[r2 -- sks3] .refval ≠ st[r2 -- sks2] .refval), ∃ sks3. ¬ (sks3 + i ' ' ⊑ sks0 → st[r2 -- sks3] .refval ≠ r), ∃ sks1, sks3. sks = sks1 + i ' ' + sks3 ∧ st[r -- sks1] .refval = r ∧ (∀ sks2. sks2 + i ' ' ⊑ sks1 → st[r -- sks2] .refval ≠ st[r -- sks1] .refval)

User applied rule all left

And obtained the following new goals

Rule argument

[EXRARG : pos: left 15, [extquanttermlist: (r2, sks0, r, []) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : storefuns, , lookup-empty, ⊦ st[r -- []] = refval(r)], [CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r])], [EXTRATERMS : (r2, sks0, r, [])]]