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Proof step 72 from proof hasSharing-put-index-refval (previous step)

st[r -- _type] .type = mkarraytype(ty), (st[r -- i ', refval(r2)][r -- (i ' ' + sks1)]) = refval(r2), 0 < st[r -- _length] .intval, i < st[r -- _length] .intval, 0 ≤ i, disjoint(str, r ' + r2 ', st), validref(str, r2, ty, st), fits(r2, sks1, st[r -- i ', refval(r2)]) ⊦ r = jvmref, r = r2, r2 = jvmref, sks1 = [], junkref(str, r, st), hasSharing(r2, st), hasSharing(r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 26:
⊦ sks ≠ [] → st[r -- (sk ' + sks)] = st[st[r -- sk] .refval -- sks]
Proof step 71:
sks1 ≠ [], st[r -- _type] .type = mkarraytype(ty), (st[r -- i ', refval(r2)][(st[r -- i ', refval(r2)][r -- i ']) .refval -- sks1]) = refval(r2), 0 < st[r -- _length] .intval, i < st[r -- _length] .intval, 0 ≤ i, disjoint(str, r ' + r2 ', st), validref(str, r2, ty, st), fits(r2, sks1, st[r -- i ', refval(r2)]) ⊦ r = jvmref, r = r2, r2 = jvmref, sks1 = [], junkref(str, r, st), hasSharing(r2, st), hasSharing(r, st)

Rule argument

[x0lemmaarg: spec-name: storefuns instance-name: lemma-name: lookup-rec-01 antecedent: succedent: sks ≠ [] → st[r -- (sk ' + sks)] = st[st[r -- sk] .refval -- sks] substlist: [sks, sk, r, st] → [sks1, i ', r, st[r -- i ', refval(r2)]] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 1, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sks1, i ', r, st[r -- i ', refval(r2)])]]