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Proof step 437 from proof hasSharing-put-index-refval (previous step)

st[r -- sks1] = refval(r2), st[r3 -- sks3] = refval(r1), st[r2 -- _type] .type = mkarraytype(ty), st[r3 -- sks2] = refval(r1), is_referencevalue(st[r2 -- i ', refval(r3)][r2 -- (i ' ' + sks2)]), fits(r3, sks2, st), is_referencevalue(st[r2 -- i ', refval(r3)][r2 -- (i ' ' + sks3)]), 0 ≤ i, i < st[r2 -- _length] .intval, fits(r3, sks3, st), fits(r, sks1, st), disjoint(str, r ' + r3 ', st), validref(str, r3, ty, st), 0 < st[r2 -- _length] .intval, r3 = jvmref → is_reftype(ty) ⊦ sks1 = [], r2 = jvmref, r = r3, r1 = jvmref, sks2 = sks3, junkref(str, r, st), ∃ sks1, sks2. fits(r3, sks1, st) ∧ fits(r3, sks2, st) ∧ sks1 ≠ sks2 ∧ st[r3 -- sks1] .refval ≠ jvmref ∧ st[r3 -- sks1] = st[r3 -- sks2], hasSharing(r, st), ∃ sks0, sks4. sks1 = sks0 + i ' ' + sks4 ∧ st[r -- sks0] .refval = r2 ∧ (∀ sks5. sks5 + i ' ' ⊑ sks0 → st[r -- sks5] .refval ≠ st[r -- sks0] .refval), ∃ sks4. ¬ (sks4 + i ' ' ⊑ sks1 → st[r -- sks4] .refval ≠ r2), ∃ sks0, sks2. sks1 = sks0 + i ' ' + sks2 ∧ st[r -- sks0] .refval = r2 ∧ (∀ sks4. sks4 + i ' ' ⊑ sks0 → st[r -- sks4] .refval ≠ st[r -- sks0] .refval), ∃ sks2. ¬ (sks2 + i ' ' ⊑ sks1 → st[r -- sks2] .refval ≠ r2), ∃ sks, sks0. sks2 = sks + i ' ' + sks0 ∧ st[r3 -- sks] .refval = r2 ∧ (∀ sks4. sks4 + i ' ' ⊑ sks → st[r3 -- sks4] .refval ≠ st[r3 -- sks] .refval), ∃ sks, sks0. sks3 = sks + i ' ' + sks0 ∧ st[r3 -- sks] .refval = r2 ∧ (∀ sks4. sks4 + i ' ' ⊑ sks → st[r3 -- sks4] .refval ≠ st[r3 -- sks] .refval)

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 7, [extquanttermlist: (sks2, sks3) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r])], [EXTRATERMS : (sks2, sks3)]]