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Proof step 32 from proof junkrefs-put-statfield (previous step)

is_array(str, r, st[jvmref -- sk, val]) ∧ (st[jvmref -- sk, val][r -- _type]) .type ≤ ty, is_array(str, r, st), junkrefs(str, r ' + acc, ty, st), st[r -- _type] .type ≤ ty, ∀ str, ty, st, sk, val. junkrefs(str, acc, ty, st) → junkrefs(str, acc, ty, st[jvmref -- sk, val]) ⊦ r = jvmref, acc ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < (st[jvmref -- sk, val][r -- _length]) .intval ∧ is_referencevalue(st[jvmref -- sk, val][r -- i ']) ∧ acc .first = (st[jvmref -- sk, val][r -- i ']) .refval ∧ junkrefs(str, acc, (st[jvmref -- sk, val][r -- _type]) .type .type, st[jvmref -- sk, val]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
is_array(str, r, st), junkrefs(str, r ' + acc, ty, st), st[r -- _type] .type ≤ ty, ∀ str, ty, st, sk, val. junkrefs(str, acc, ty, st) → junkrefs(str, acc, ty, st[jvmref -- sk, val]) ⊦ r = jvmref, acc ≠ [] ∧ (∃ i. ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ acc .first = st[r -- i '] .refval ∧ junkrefs(str, acc, st[r -- _type] .type .type, st[jvmref -- sk, val]))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ is_array(str, r, st) → is_array (str, r, st[jvmref -- sk, val])])]]