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Proof step 9 from proof unchanged-lookup-list-generic (previous step)

unchanged(str, r, st, st0), fits(r, sk ', st0), fits(r, sk ', st) ⊦ st[r -- sk] = st0[r -- sk], junkref(str, r, st), junkref(str, r, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ unchanged(str, r, st, st0) ∧ path∃(str, r, r0, st) ∧ r0 ≠ jvmref ∧ (is_classtype(st[r0 -- _type] .type) → sk ∈ instfields(st[r0 -- _type] .type .class)) ∧ (is_arraytype(st[r0 -- _type] .type) → sk = _length ∨ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r0 -- _length] .intval) → st[r0 -- sk] = st0[r0 -- sk]
Proof step 8:
¬ ( unchanged(str, r, st, st0) ∧ path∃(str, r, r, st) ∧ r ≠ jvmref ∧ (is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → sk = _length ∨ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval)), unchanged(str, r, st, st0), fits(r, sk ', st0), fits(r, sk ', st) ⊦ st[r -- sk] = st0[r -- sk], junkref(str, r, st), junkref(str, r, st0)

Rule argument

[x0lemmaarg: spec-name: pointers instance-name: lemma-name: unchanged-lookup-generic antecedent: succedent: unchanged(str, r, st, st0) ∧ path∃(str, r, r0, st) ∧ r0 ≠ jvmref ∧ ( is_classtype(st[r0 -- _type] .type) → sk ∈ instfields(st[r0 -- _type] .type .class)) ∧ ( is_arraytype(st[r0 -- _type] .type) → sk = _length ∨ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r0 -- _length] .intval) → st[r0 -- sk] = st0[r0 -- sk] substlist: [str, r, st, st0, r0, sk] → [str, r, st, st0, r, sk] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r, st, st0, r, sk)]]