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Proof step 18 from proof unchanged-rec-generic (previous step)

is_array(str, r, st), st[r -- _type] .type = mkarraytype(ty0), i ' .fs = mkfs(class, ty, fieldvar), st[r -- i '] = refval(r0), 0 ≤ i, unchanged(str, r, st, st0), i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, is_array(str, r, st) ⊦ r = jvmref, r0 = jvmref, ∃ 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 ∨ junkref(str, st[r -- i '] .refval, st)), unchanged(str, r0, st, st0), st[r0 -- _type] .type ≤ ty0 ∧ is_valid_ref(str, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
st[r -- i '] = refval(r0), i ' .fs = mkfs(class, ty, fieldvar), st[r -- _type] .type = mkarraytype(ty0), is_array(str, r, st), 0 < st[r -- _length] .intval, i < st[r -- _length] .intval, unchanged(str, r, st, st0), 0 ≤ i ⊦ r0 = jvmref, r = jvmref, unchanged(str, r0, st, st0), st[r0 -- _type] .type ≤ ty0 ∧ is_valid_ref(str, r0, st), ∃ 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 ≤ ty0 ∨ junkref(str, st[r -- i0 '] .refval, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javatype, , sel-01, ⊦ mkarraytype(ty) .type = ty], [CSIMPNAMEDSEQ : int-abs, , lels, ⊦ ¬ i < j ↔ j ≤ i], [CSIMPNAMEDSEQ : int-abs, , lels-01, ⊦ ¬ i ≤ j ↔ j < i])]]