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Proof step 87 from proof junkrefs-put-refval-01 (previous step)

st[r0 -- _type] .type ≤ ty0, junkrefs(str, r1 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), ∀ str, ty, st, r0, fs, r. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r1 = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st), r ≠ r1 ∧ ¬ r ∈ acc

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → junkrefs(str, r ' + refs, ty, st)
Proof step 86:
¬ (r1 ≠ jvmref ∧ (¬ is_valid_ref(str, r1, st) ∨ ¬ st[r1 -- _type] .type ≤ ty)), st[r0 -- _type] .type ≤ ty0, junkrefs(str, r1 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), ∀ str, ty, st, r0, fs, r. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r1 = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st), r ≠ r1 ∧ ¬ r ∈ acc

Rule argument

[crewrite-arg: junkrefs-is-junk , F , [st, ty, refs, r, str] → [st, ty, acc, r1, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, acc, r1, str)]]