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Proof step 25 from proof fits-put-02 (previous step)

st[r -- sk] = refval(r0), st[r -- _type] .type = mkclasstype(class), sk ∈ instfields(class), fits(r0, sks0, st[r1 -- i ', byteval(by)]), okarray(r1, byte_type, st), is_referencevalue(st[r -- (sk ' + sks0)]), r1 ∈ st, is_obj(str, r, st), ∀ st, r, r1, i, by, str. is_referencevalue(st[r -- sks0]) ∧ okarray(r1, byte_type, st) ∧ fits(r, sks0, st[r1 -- i ', byteval(by)]) ∧ r1 ∈ st → r1 = jvmref ∨ fits(r, sks0, st) ∨ junkref(str, r, st) ⊦ r = r1, r = jvmref, r1 = jvmref, fits(r0, sks0, st), junkref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ sks ≠ [] → st[r -- (sk ' + sks)] = st[st[r -- sk] .refval -- sks]
Proof step 7:
⊦ fits(r, [], st)
Proof step 24:
sks0 ≠ [], st[r -- sk] = refval(r0), st[r -- _type] .type = mkclasstype(class), sk ∈ instfields(class), fits(r0, sks0, st[r1 -- i ', byteval(by)]), okarray(r1, byte_type, st), is_referencevalue(st[st[r -- sk] .refval -- sks0]), r1 ∈ st, is_obj(str, r, st), ∀ st, r, r1, i, by, str. is_referencevalue(st[r -- sks0]) ∧ okarray(r1, byte_type, st) ∧ fits(r, sks0, st[r1 -- i ', byteval(by)]) ∧ r1 ∈ st → r1 = jvmref ∨ fits(r, sks0, st) ∨ junkref(str, r, st) ⊦ r = r1, r = jvmref, r1 = jvmref, fits(r0, sks0, st), junkref(str, r, st)

Rule argument

[speclemmaarg: ,sks ≠ [] → st[r -- (sk ' + sks)] = st[st[r -- sk] .refval -- sks] ,[sks, sk, r, st] → [sks0, sk, r, st] ,F ,storefuns , ,lookup-rec-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sks + [] = sks], [CSIMPSEQ : ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPSEQ : ⊦ st[r -- sk '] = st[r -- sk]])], [EXTRATERMS : (sks0, sk, r, st)]]