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Proof step 98 from proof hasSharing-put-index-refval (previous step)

¬ ¬ (∃ sks2, sks1. sks0 = sks2 + (i ' + sks1) ∧ st[r0 -- sks2] .refval = r0 ∧ (∀ sks3. sks3 + i ' ⊑ sks2 → st[r0 -- sks3] .refval ≠ r0)), st[r0 -- _type] .type = mkarraytype(ty), (st[r0 -- i ', refval(r1)][r0 -- sks0]) = refval(r1), disjoint(str, r0 ' + r1 ', st), validref(str, r1, ty, st), fits(r0, sks0, st), i < st[r0 -- _length] .intval, 0 ≤ i, 0 < st[r0 -- _length] .intval ⊦ sks0 = i ' ', r0 = jvmref, r0 = r1, r1 = jvmref, sks0 = [], junkref(str, r0, st), hasSharing(r1, st), hasSharing(r0, st), ∃ sks, sks1. sks0 = sks + i ' ' + sks1 ∧ st[r0 -- sks] .refval = r0 ∧ (∀ sks2. sks2 + i ' ' ⊑ sks → st[r0 -- sks2] .refval ≠ r0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 97:
st[r0 -- sks1] .refval = r0, st[r0 -- _type] .type = mkarraytype(ty), (st[r0 -- i ', refval(r1)][r0 -- (sks1 + i ' ' + sks)]) = refval(r1), i < st[r0 -- _length] .intval, 0 ≤ i, 0 < st[r0 -- _length] .intval, disjoint(str, r0 ' + r1 ', st), validref(str, r1, ty, st), fits(r0, sks1 + i ' ' + sks, st), ∀ sks0. sks0 + i ' ' ⊑ sks1 → st[r0 -- sks0] .refval ≠ r0 ⊦ r0 = jvmref, r0 = r1, r1 = jvmref, sks1 + i ' ' + sks = i ' ', junkref(str, r0, st), hasSharing(r1, st), hasSharing(r0, st), ∃ sks0, sks2. sks1 + i ' ' + sks = sks0 + i ' ' + sks2 ∧ st[r0 -- sks0] .refval = r0 ∧ (∀ sks3. sks3 + i ' ' ⊑ sks0 → st[r0 -- sks3] .refval ≠ r0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, storekeys, Last, ⊦ sks + sk = sks + sk '], [CSIMPNAMEDSEQ : list, storekeys, e-03, ⊦ sks + sk ' + sks0 ≠ []], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, c, ⊦ sk + sks = sk ' + sks])]]