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Proof step 20 from proof nosharing-forward (previous step)

st[jvmref -- sks0] = refval(r0), st[r -- _type] .type = mkclasstype(class), st[jvmref -- (sk ' + sks1)] = refval(r0), fits(jvmref, sks0, st), validref(str, r, ty, st), fs ' ∈ instfields(class), fits(jvmref, sk ' + sks1, st), ∀ st, sks0, r0, r, class, str, ty, fs. st[jvmref -- sks0] = refval(r0) ∧ st[r -- _type] .type = mkclasstype(class) ∧ st[jvmref -- sks1] = refval(r0) ∧ fits(jvmref, sks1, st) ∧ fits(jvmref, sks0, st) ∧ validref(str, r, ty, st) ∧ fs ' ∈ instfields(class) → r = jvmref ∨ sks0 = sks1 ∨ sks0 = [] ∨ sks1 = [] ∨ r0 = jvmref ∨ is_referencevalue(st[r -- fs ']) ⊦ sks0 = [], r0 = jvmref, r = jvmref, sks0 = sk ' + sks1, is_referencevalue(st[r -- fs '])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ 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)

Rule argument

[crewrite-arg: fits-storekeys-rec , F , [st, sks, sk, r] → [st, sks1, sk, jvmref] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, sks1, sk, jvmref)]]