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Proof step 35 from proof at-put-prim (previous step)

st[r0 -- sk0] = refval(r1), is_referencevalue(st[r1 -- sks0]), fits(r1, sks0, st), is_classtype(st[r0 -- _type] .type) → sk0 ∈ instfields(st[r0 -- _type] .type .class), is_arraytype(st[r0 -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r0 -- _length] .intval, ∀ st0, r2, r3, sk1, val0, str0. is_referencevalue(st0[r2 -- sks0]) ∧ fits(r2, sks0, st0) → (st0[r3 -- sk1, val0][r2 -- sks0]) = st0[r2 -- sks0] ∨ is_referencevalue(st0[r3 -- sk1]) ∨ junkref(str0, r3, st0) ∨ junkref(str0, r2, st0) ⊦ sks0 = [], (st[r -- sk, val][(st[r -- sk, val][r0 -- sk0]) .refval -- sks0]) = st[r1 -- sks0], r0 = jvmref, is_referencevalue(st[r -- sk]), junkref(str, r, st), junkref(str, r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: store instance-name: javastore lemma-name: At-other antecedent: succedent: rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] substlist: [rk, val, rk0, st] → [r0 -- sk0, val, r -- sk, st] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : refkey, , inj, ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPNAMEDSEQ : store, javastore, At-same, ⊦ (st[rk, val][rk]) = val], [CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))])], [EXTRATERMS : (r0 -- sk0, val, r -- sk, st)]]