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Proof step 31 from proof validrefs-addobj (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, ty, r, class, fis, st. validrefs(str, acc, ty, addobj(r, class, fis, st)) → validrefs(str, acc, ty, st) ∨ r ∈ acc, acc = [] ∨ 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ acc .first = st[r0 -- i '] .refval ∧ validrefs(str, acc, st[r0 -- _type] .type .type, addobj(r, class, fis, st)) ⊦ r0 = jvmref, r = r0, r ∈ acc, validrefs(str, r0 ' + acc, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (addobj(r, class1, fis, st) [r0 -- sk ] ) = st[r0 -- sk]], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_array (str, r, addobj(r0, class, fis, st)) ↔ is_array(str, r, st))])]]