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Proof step 65 from proof put-switch-primval-index-index (previous step)

st[r -- sks1] = refval(r1), st[r0 -- sks] = refval(r2), fits(r0, sks + sk0 ', st), fits(r, sks1 + sk ', st), is_indexkey(sk0), is_indexkey(sk), r1 ≠ r2 ∨ sk ≠ sk0 ⊦ (st[r1 -- sk, val][(st[r1 -- sk, val][r0 -- sks]) .refval -- sk0, val0]) = (st[r2 -- sk0, val0][(st[r2 -- sk0, val0][r -- sks1]) .refval -- sk, val]), is_referencevalue(val), is_referencevalue(val0), is_referencevalue(st[r -- (sks1 + sk ')]), is_referencevalue(st[r0 -- (sks + sk0 ')]), 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: instance-name: lemma-name: at-put-prim antecedent: succedent: ¬ is_referencevalue(st[r -- sk]) ∧ fits(r0, sks, st) ∧ ¬ junkref(str, r, st) ∧ ¬ junkref(str, r0, st) ∧ is_referencevalue(st[r0 -- sks]) ∧ sks ≠ [] → (st[r -- sk, val][r0 -- sks]) = st[r0 -- sks] substlist: [st, r, sk, r0, sks, str, val] → [st, r1, sk, r0, sks, str, val] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r1, sk, r0, sks, str, val)]]