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Proof step 94 from proof unchanged-junkrefs-level (previous step)

unchanged(str0, r, st, st1) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_array(str0, r, st) ∧ is_referencevalue(st[r -- i ']) ∧ r ≠ jvmref ∧ ( st[r -- i '] .refval ≠ jvmref → st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ is_valid_ref(str0, st[r -- i '] .refval, st)) → unchanged(str0, st[r -- i '] .refval, st, st1), st[r -- i '] = refval(r1), st[r -- _type] .type = mkarraytype(ty1), st[r -- _length] = st1[r -- _length], st1[r -- i '] = refval(r1), st1[r -- _type] = st[r -- _type], 0 < st1[r -- _length] .intval, is_array(str0, r, st), unchangedNorec(r, st, st1), is_array(str, r, st), 0 ≤ i, is_array(str, r, st1), is_valid_ref(str0, r, st1), mkarraytype(ty1) ≤ ty, i < st1[r -- _length] .intval, junkrefs(str, r1 ' + refs, ty1, st), unchanged(str0, r, st, st1), level⊆(str, str0), ∀ i0. ¬ i0 < 0 ∧ ¬ st1[r -- _length] .intval ≤ i0 → st[r -- i0 '] = st1[r -- i0 '], ∀ r0. (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st1)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st1)) ⊦ r = jvmref, junkrefs(str, r1 ' + refs, ty1, st1), unchanged(str0, r1, st, st1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 93:
st1[r -- _type] = st[r -- _type], st1[r -- i '] = refval(r1), st[r -- _length] = st1[r -- _length], st[r -- _type] .type = mkarraytype(ty1), st[r -- i '] = refval(r1), level⊆(str, str0), unchanged(str0, r, st, st1), junkrefs(str, r1 ' + refs, ty1, st), i < st1[r -- _length] .intval, mkarraytype(ty1) ≤ ty, is_valid_ref(str0, r, st1), is_array(str, r, st1), 0 ≤ i, is_array(str, r, st), unchangedNorec(r, st, st1), is_array(str0, r, st), 0 < st1[r -- _length] .intval, ∀ r0. (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st1)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st1)), ∀ i0. ¬ i0 < 0 ∧ ¬ st1[r -- _length] .intval ≤ i0 → st[r -- i0 '] = st1[r -- i0 '] ⊦ r = jvmref, r1 = jvmref, unchanged(str0, r1, st, st1), junkrefs(str, r1 ' + refs, ty1, st1), st[r1 -- _type] .type ≤ ty1 ∧ is_valid_ref(str0, r1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javatype, , sel-01, ⊦ mkarraytype(ty) .type = ty], [CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r], [CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))], [CSIMPNAMEDSEQ : int-abs, , lels-03, ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPNAMEDSEQ : junkrefs, , levelsubset-is-array, ⊦ is_array(str, r, st) ∧ level⊆(str, str0) → ( ¬ is_array(str0, r, st) ↔ false)], [CSIMPNAMEDSEQ : int-abs, , lels, ⊦ ¬ i < j ↔ j ≤ i], [CSIMPNAMEDSEQ : int-abs, , lels-04, ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPNAMEDSEQ : int-abs, , lels-01, ⊦ ¬ i ≤ j ↔ j < i], [CSIMPNAMEDSEQ : list, references, a, ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]