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Proof step 765 from proof hasSharing-put-index-refval (previous step)

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

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 14, [extquanttermlist: (r, sks, r2, sks2) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r])], [EXTRATERMS : (r, sks, r2, sks2)]]