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Proof step 615 from proof hasSharing-put-index-refval (previous step)

¬ sks2 ≠ [], (st[r0 -- i ', refval(r2)][r0 -- (i ' ' + sks2)]) = refval(r1), st[r0 -- sks] = refval(r1), st[r0 -- _type] .type = mkarraytype(ty), fits(r2, sks2, st[r0 -- i ', refval(r2)]), fits(r0, sks, st), disjoint(str, r0 ' + r2 ', st), validref(str, r2, ty, st), i < st[r0 -- _length] .intval, 0 ≤ i, 0 < st[r0 -- _length] .intval, r2 = jvmref → is_reftype(ty) ⊦ i ' ' + sks2 = sks, r0 = jvmref, r0 = r2, r1 = jvmref, sks = [], junkref(str, r0, st), hasSharing(r2, st), hasSharing(r0, st), ∃ sks0, sks3. sks = sks0 + i ' ' + sks3 ∧ st[r0 -- sks0] .refval = r0 ∧ (∀ sks2. sks2 + i ' ' ⊑ sks0 → st[r0 -- sks2] .refval ≠ st[r0 -- sks0] .refval)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 599:
⊦ fits(r, [], st)
Proof step 614:
st[r0 -- _type] .type = mkarraytype(ty), st[r0 -- sks] = refval(r1), 0 < st[r0 -- _length] .intval, 0 ≤ i, i < st[r0 -- _length] .intval, validref(str, r1, ty, st), disjoint(str, r0 ' + r1 ', st), fits(r0, sks, st) ⊦ i ' ' = sks, sks = [], r1 = jvmref, r0 = r1, r0 = jvmref, hasSharing(r0, st), hasSharing(r1, st), junkref(str, r0, st), ∃ sks0, sks3. sks = sks0 + i ' ' + sks3 ∧ st[r0 -- sks0] .refval = r0 ∧ (∀ sks2. sks2 + i ' ' ⊑ sks0 → st[r0 -- sks2] .refval ≠ st[r0 -- sks0] .refval)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , inj-03, ⊦ refval(r) = refval(r0) ↔ r = r0], [CSIMPNAMEDSEQ : store, javastore, At-same, ⊦ (st[rk, val][rk]) = val], [CSIMPNAMEDSEQ : storefuns, , lookup-one, ⊦ st[r -- sk '] = st[r -- sk]], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, app, ⊦ sks + [] = sks])]]