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Proof step 4 from proof validrefs-applast-array (previous step)

st[r -- i '] = refval(r0), validrefs(str, refs + r ', ty, st), is_array(str, r, st), i < st[r -- _length] .intval, st[r0 -- _type] .type ≤ st[r -- _type] .type .type, is_valid_ref(str, r0, st), type∃(str, st[r0 -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ validrefs(str, refs + r ' + r0 ', ty, st), validrefs(str, r0 ', st[r -- _type] .type .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ validrefs(str, r ', ty, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty

Rule argument

[crewrite-arg: validrefs-one , F , [st, ty, r, str] → [st, st[r -- _type] .type .type, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- _type] .type .type, r0, str)]]