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Proof step 56 from proof fits-put-short-01 (previous step)

is_shortvalue(st[r1 -- fs ']), fits(r, sk ' + sks0, st[r1 -- fs ', shortval(sho)]), ∀ r, st, r1, fs, sho, str. fits(r, sks0, st[r1 -- fs ', shortval(sho)]) ∧ is_shortvalue(st[r1 -- fs ']) → junkref(str, r, st) ∨ fits(r, sks0, st) ⊦ junkref(str, r, st), fits(r, sk ' + sks0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ fits(r, sk ' + sks, st) ↔ r ≠ jvmref ∧ is_referencevalue(st[r -- sk]) ∧ (is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval) ∧ fits(st[r -- sk] .refval, sks, st)
Proof step 55:
is_shortvalue(st[r1 -- fs ']), fits(r, sk ' + sks0, st[r1 -- fs ', shortval(sho)]), ∀ r, st, r1, fs, sho, str. fits(r, sks0, st[r1 -- fs ', shortval(sho)]) ∧ is_shortvalue(st[r1 -- fs ']) → junkref(str, r, st) ∨ fits(r, sks0, st) ⊦ junkref(str, r, st), r ≠ jvmref ∧ is_referencevalue(st[r -- sk]) ∧ (is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval) ∧ fits(st[r -- sk] .refval, sks0, st)

Rule argument

[crewrite-arg: fits-storekeys-rec , F , [st, sks, sk, r] → [st, sks0, sk, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, sks0, sk, r)]]