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Proof step 41 from proof hasSharing-put-index-refval (previous step)

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

User applied rule all left

And obtained the following new goals

Rule argument

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

Additional information

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