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Proof step 703 from proof hasSharing-put-index-refval (previous step)

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

User applied rule all left

And obtained the following new goals

Rule argument

[EXRARG : pos: left 12, [extquanttermlist: (r, sks, r1, []) 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 : (r, sks, r1, [])]]