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Proof step 628 from proof hasSharing-put-index-refval (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 627:
st[r1 -- sks0] = refval(r), st[r -- sks] = refval(r1), st[r -- _type] .type = mkarraytype(ty), fits(r1, sks0 + i ' ', st[r -- i ', refval(r1)]), fits(r, sks, st), disjoint(str, r ' + r1 ', st), validref(str, r1, ty, st), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval ⊦ i ' ' + sks0 + i ' ' = sks, r = jvmref, r = r1, sks = [], r1 = jvmref, sks0 = [], junkref(str, r, st), hasSharing(r1, st), hasSharing(r, st), validreflist(str, refval(r) ' + refval(r1) ', mkclasstype(`java.lang.Object' .class), st), ∃ sks1, sks3. sks = sks1 + i ' ' + sks3 ∧ st[r -- sks1] .refval = r ∧ (∀ sks2. sks2 + i ' ' ⊑ sks1 → st[r -- sks2] .refval ≠ st[r -- sks1] .refval), ∃ sks3. ¬ (sks3 + i ' ' ⊑ sks0 → st[r1 -- sks3] .refval ≠ r), ∃ sks2, sks4. sks0 = sks2 + i ' ' + sks4 ∧ st[r1 -- sks2] .refval = r ∧ (∀ sks3. sks3 + i ' ' ⊑ sks2 → st[r1 -- sks3] .refval ≠ st[r1 -- sks2] .refval)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, references, a, ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPNAMEDSEQ : valuesfuns, , mkvalsr-one, ⊦ mkjavavalues(r ') = refval(r) '], [CSIMPNAMEDSEQ : valuesfuns, , mkvalsr-rec, ⊦ mkjavavalues(r ' + refs) = refval(r) ' + mkjavavalues(refs)])]]