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Proof step 6 from proof hasSharing-dups-object (previous step)

st[r -- _type] .type = mkclasstype(class), st[r -- sk0] = refval(r0), st[r -- sk] = refval(r0), sk0 ∈ instfields(class), sk ∈ instfields(class) ⊦ r0 = jvmref, sk0 = sk, r = jvmref, fits(r, sk ', st) ∧ fits(r, sk0 ', st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ fits(r, sk ', 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)
Proof step 5:
st[r -- _type] .type = mkclasstype(class), st[r -- sk0] = refval(r0), st[r -- sk] = refval(r0), sk0 ∈ instfields(class), sk ∈ instfields(class) ⊦ r0 = jvmref, sk0 = sk, r = jvmref, fits(r, sk ', st) ∧ r ≠ jvmref ∧ is_referencevalue(st[r -- sk0]) ∧ (is_classtype(st[r -- _type] .type) → sk0 ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r -- _length] .intval)

Rule argument

[crewrite-arg: fits-storekeys-one, F, [st, sk, r] → [st, sk0, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, sk0, r)]]