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Proof step 10 from proof put-switch-primval-field-index (previous step)

st[r -- sks1] = refval(r1), fits(r2, i ' ', st), fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st) ⊦ (st[r1 -- mkfs(class, ty, fieldvar) ', val][r2 -- i ', val0]) = (st[r2 -- i ', val0][(st[r2 -- i ', val0][r -- sks1]) .refval -- mkfs(class, ty, fieldvar) ', val]), is_referencevalue(st[r2 -- i ']), is_reftype(ty), is_referencevalue(val0), is_referencevalue(val), junkref(str, r2, st), junkref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: fits-storekeys-one antecedent: succedent: 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) substlist: [st, sk, r] → [st, i ', r2] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, i ', r2)]]