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Proof step 577 from proof hasSharing-put-index-refval (previous step)

(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), sks2 + i ' ' + sks1 = sks2 + i ' ' + sks1 ∧ st[r -- sks2] .refval = r0 ∧ (∀ sks0. sks0 + i ' ' ⊑ sks2 → st[r -- sks0] .refval ≠ st[r -- sks2] .refval)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 576:
(st[st[r -- sks] .refval -- i ', refval(r2)][r -- (sks2 + i ' ' + sks1)]) = refval(r1), st[st[r -- sks] .refval -- _type] .type = mkarraytype(ty), (st[st[r -- sks] .refval -- i ', refval(r2)][r -- sks0]) = refval(r1), st[r -- sks2] = refval(st[r -- sks] .refval), sks + i ' ' ⊑ sks2, fits(r, sks2 + i ' ' + sks1, st), disjoint(str, r ' + r2 ', st), validref(str, r2, ty, st), fits(r, sks0, st[st[r -- sks] .refval -- i ', refval(r2)]), ∀ sks0. sks0 + i ' ' ⊑ sks2 → st[r -- sks0] .refval ≠ st[r -- sks] .refval, r2 = jvmref → is_reftype(ty) ⊦ sks0 = sks2 + i ' ' + sks1, st[r -- sks] .refval = jvmref, r = r2, r1 = jvmref, sks0 = [], junkref(str, r, st), hasSharing(r2, st), hasSharing(r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1])]]