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Proof step 15 from proof nosharing-forward (previous step)

st[st[r -- fs '] .refval -- sks0] = refval(r0), st[r -- _type] .type = mkclasstype(class), st[st[r -- fs '] .refval -- sks] = refval(r0), fits(st[r -- fs '] .refval, sks, st), fits(st[r -- fs '] .refval, sks0, st), validrefnotnull(str, r, ty, st), fs ' ∈ instfields(class) ⊦ fits(r, fs ' ' + sks, st), sks0 = sks, sks0 = [], sks = [], r0 = jvmref, r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 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 14:
st[st[r -- fs '] .refval -- sks0] = refval(r0), st[r -- _type] .type = mkclasstype(class), st[st[r -- fs '] .refval -- sks] = refval(r0), fits(st[r -- fs '] .refval, sks, st), fits(st[r -- fs '] .refval, sks0, st), validrefnotnull(str, r, ty, st), fs ' ∈ instfields(class) ⊦ r ≠ jvmref ∧ is_referencevalue(st[r -- fs ']) ∧ (is_classtype(st[r -- _type] .type) → fs ' ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → is_indexkey(fs ') ∧ 0 ≤ fs ' .index ∧ fs ' .index < st[r -- _length] .intval) ∧ fits(st[r -- fs '] .refval, sks, st), sks0 = sks, sks0 = [], sks = [], r0 = jvmref, r = jvmref

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, sks, fs ', r)]]