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Proof step 38 from proof cyclic-addarray-this-01 (previous step)

newref(r0, st), validrefs(str, r0 ' + refs0, mkarraytype(ty), addarray(r0, ty, vals, st)), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ r0 = jvmref, ¬ r0 ∈ refs0 ∧ ¬ dups(refs0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 37:
¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, addarray(r0, ty, vals, st)) ∨ ¬ (addarray(r0, ty, vals, st)[r0 -- _type]) .type ≤ mkarraytype(ty))), newref(r0, st), validrefs(str, r0 ' + refs0, mkarraytype(ty), addarray(r0, ty, vals, st)), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ r0 = jvmref, ¬ r0 ∈ refs0 ∧ ¬ dups(refs0)

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [addarray(r0, ty, vals, st), mkarraytype(ty), refs0, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r0, ty, vals, st), mkarraytype(ty), refs0, r0, str)]]