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Proof step 730 from proof hasSharing-put-index-refval (previous step)

st[r3 -- _type] .type = mkarraytype(ty), st[r -- sks] = refval(r1), st[r -- sks1] = refval(r3), (st[r3 -- i ', refval(r4)][r4 -- (sks0 + i ' ' + sks3)]) = refval(r1), st[r4 -- sks0] = refval(r3), 0 < st[r3 -- _length] .intval, 0 ≤ i, i < st[r3 -- _length] .intval, validref(str, r4, ty, st), fits(r, sks, st), fits(r, sks1, st), fits(r4, sks0, st), fits(r4, sks3, st[r3 -- i ', refval(r4)]), validref(str, r, mkclasstype(`java.lang.Object' .class), st), validref(str, r4, mkclasstype(`java.lang.Object' .class), st), ∀ r0, sks2, r2, sks4. r0 ≠ r ∧ r0 ≠ r4 ∨ r2 ≠ r ∧ r2 ≠ r4 ∨ r0 = r2 ∨ ¬ fits(r0, sks2, st) ∨ ¬ fits(r2, sks4, st) ∨ st[r0 -- sks2] ≠ st[r2 -- sks4] ∨ st[r0 -- sks2] .refval = jvmref ⊦ sks1 = [], sks1 + i ' ' + sks0 + i ' ' + sks3 = sks, sks = [], r1 = jvmref, r = r4, r3 = jvmref, r4 = jvmref, hasSharing(r, st), hasSharing(r4, st), junkref(str, r, st), ∃ sks1, sks3. sks = sks1 + i ' ' + sks3 ∧ st[r -- sks1] .refval = r3 ∧ (∀ sks2. sks2 + i ' ' ⊑ sks1 → st[r -- sks2] .refval ≠ st[r -- sks1] .refval), ∃ sks3. ¬ (sks3 + i ' ' ⊑ sks1 → st[r -- sks3] .refval ≠ r3), ∃ sks, sks3. sks1 = sks + i ' ' + sks3 ∧ st[r -- sks] .refval = r3 ∧ (∀ sks4. sks4 + i ' ' ⊑ sks → st[r -- sks4] .refval ≠ st[r -- sks] .refval), ∃ sks4. ¬ (sks4 + i ' ' ⊑ sks0 → st[r4 -- sks4] .refval ≠ r3), ∃ sks2, sks4. sks0 = sks2 + i ' ' + sks4 ∧ st[r4 -- sks2] .refval = r3 ∧ (∀ sks5. sks5 + i ' ' ⊑ sks2 → st[r4 -- sks5] .refval ≠ st[r4 -- sks2] .refval)

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 16, [extquanttermlist: (r, sks1, r4, sks0) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r])], [EXTRATERMS : (r, sks1, r4, sks0)]]