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Proof step 89 from proof validrefs-putshort-field (previous step)

is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), validrefs(str, r0 ' + refs1, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + refs1) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ junkref(str, r0, st), validrefs(str, r0 ' + refs1, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 88:
¬ ( r0 ≠ jvmref ∧ ( ¬ is_valid_ref(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ ¬ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _type]) .type ≤ ty)), is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), validrefs(str, r0 ' + refs1, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + refs1) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ junkref(str, r0, st), validrefs(str, r0 ' + refs1, ty, st)

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)], ty, refs1, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)], ty, refs1, r0, str)]]