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Proof step 579 from proof hasSharing-put-index-refval (previous step)

st[r -- sks2] = refval(r0) ∧ is_referencevalue(st[r -- sks2]), (st[r0 -- i ', refval(r2)][r -- sks0]) = refval(r1), st[r0 -- _type] .type = mkarraytype(ty), (st[r0 -- i ', refval(r2)][r -- (sks2 + i ' ' + sks1)]) = refval(r1), fits(r, sks0, st[r0 -- i ', refval(r2)]), validref(str, r2, ty, st), disjoint(str, r ' + r2 ', st), fits(r, sks2 + i ' ' + sks1, st), r2 = jvmref → is_reftype(ty), ∀ sks. sks + i ' ' ⊑ sks2 → st[r -- sks] .refval ≠ r0 ⊦ sks0 = [], r1 = jvmref, r = r2, r0 = jvmref, sks0 = sks2 + i ' ' + sks1, hasSharing(r, st), hasSharing(r2, st), junkref(str, r, st), ∃ sks, sks3. sks2 + i ' ' + sks1 = sks + i ' ' + sks3 ∧ st[r -- sks] .refval = r0 ∧ (∀ sks2. sks2 + i ' ' ⊑ sks → st[r -- sks2] .refval ≠ st[r -- sks] .refval)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 578:
(st[r0 -- i ', refval(r2)][r -- (sks2 + i ' ' + sks1)]) = refval(r1), st[r0 -- _type] .type = mkarraytype(ty), (st[r0 -- i ', refval(r2)][r -- sks0]) = refval(r1), st[r -- sks2] = refval(r0), fits(r, sks2 + i ' ' + sks1, st), disjoint(str, r ' + r2 ', st), validref(str, r2, ty, st), fits(r, sks0, st[r0 -- i ', refval(r2)]), ∀ sks. sks + i ' ' ⊑ sks2 → st[r -- sks] .refval ≠ r0, r2 = jvmref → is_reftype(ty) ⊦ sks0 = sks2 + i ' ' + sks1, r0 = jvmref, r = r2, r1 = jvmref, sks0 = [], junkref(str, r, st), hasSharing(r2, st), hasSharing(r, st), ∃ sks, sks3. sks2 + i ' ' + sks1 = sks + i ' ' + sks3 ∧ st[r -- sks] .refval = r0 ∧ (∀ sks2. sks2 + i ' ' ⊑ sks → st[r -- sks2] .refval ≠ st[r -- sks] .refval)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))])]]