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Proof step 31 from proof junkrefs-delete (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
is_array(str, r0, st), junkrefs(str, r0 ' + acc, ty, 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))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ is_array(str, r, st) → is_valid_ref(str, r, st)])]]