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Proof step 29 from proof junkrefs-delete (previous step)

is_array(str, r0, st -- r) ∧ (st -- r)[r0 -- _type] .type ≤ ty, is_array(str, r0, st), acc ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < (st -- r)[r0 -- _length] .intval ∧ is_referencevalue((st -- r)[r0 -- i ']) ∧ acc .first = (st -- r)[r0 -- i '] .refval ∧ junkrefs(str, acc, (st -- r)[r0 -- _type] .type .type, st -- r)), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r. junkrefs(str, acc, ty, st -- r) → r ∈ acc ∨ junkrefs(str, acc, ty, st) ⊦ r0 = jvmref, r = r0, r ∈ acc, acc ≠ [] ∧ (∃ i. ¬ i < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i ∧ is_referencevalue(st[r0 -- i ']) ∧ acc .first = st[r0 -- i '] .refval ∧ junkrefs(str, acc, st[r0 -- _type] .type .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
acc .first = st[r0 -- i '] .refval, st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), i < st[r0 -- _length] .intval, is_referencevalue(st[r0 -- i ']), junkrefs(str, acc, st[r0 -- _type] .type .type, st -- r), 0 ≤ i, 0 < st[r0 -- _length] .intval, ∀ str, ty, st, r. junkrefs(str, acc, ty, st -- r) → r ∈ acc ∨ junkrefs(str, acc, ty, st) ⊦ r0 = jvmref, r = r0, acc = [], r ∈ acc, ∃ i. ¬ i < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i ∧ is_referencevalue(st[r0 -- i ']) ∧ acc .first = st[r0 -- i '] .refval ∧ junkrefs(str, acc, st[r0 -- _type] .type .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_array(str, r0, st -- r) ↔ is_array(str, r0, st))], [CSIMPSEQ : ⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]])]]