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Proof step 5 from proof unchanged-array-forward (previous step)

is_array(str, r, st) ∧ r ≠ r0, st[r -- i '] = refval(r0), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ st[r -- _type] .type .type, 0 < st[r -- _length] .intval, 0 ≤ i, is_array(str, r, st), i < st[r -- _length] .intval, unchanged(str, r, st, st1) ⊦ r0 = jvmref, r = jvmref, unchanged(str, r0, st, st1), ∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ ( st[r -- i '] .refval ≠ jvmref ∧ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ path∃(str, st[r -- i '] .refval, r0, st) ∨ st[r -- i '] .refval = jvmref ∧ r0 = jvmref)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
st[r -- i '] = refval(r0), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ st[r -- _type] .type .type, 0 < st[r -- _length] .intval, 0 ≤ i, is_array(str, r, st), i < st[r -- _length] .intval, unchanged(str, r, st, st1) ⊦ r0 = jvmref, r = jvmref, r = r0, unchanged(str, r0, st, st1), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ st[r -- i0 '] .refval ≠ jvmref ∧ st[st[r -- i0 '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ path∃(str, st[r -- i0 '] .refval, r0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]