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Proof step 13 from proof put-switch-primval-field-index (previous step)

st[r0 -- sks] = refval(r2), st[r -- sks1] = refval(r1), fits(r0, sks + i ' ', st), fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st), mkfs(class, ty, fieldvar) ' ∈ sks ⊦ sks = [], (st[r1 -- mkfs(class, ty, fieldvar) ', val][(st[r1 -- mkfs(class, ty, fieldvar) ', val][r0 -- sks]) .refval -- i ', val0]) = (st[r2 -- i ', val0][(st[r2 -- i ', val0][r -- sks1]) .refval -- mkfs(class, ty, fieldvar) ', val]), is_referencevalue(val), is_referencevalue(val0), is_reftype(ty), is_referencevalue(st[r0 -- (sks + i ' ')]), 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: fits-no-reftype-01 antecedent: succedent: mkfs(class, ty, fieldvar) ' ∈ sks .butlast ∧ ¬ is_reftype(ty) ∧ ¬ junkref(str, r, st) ∧ sks ≠ [] → ¬ fits(r, sks, st) substlist: [class, ty, fieldvar, sks, str, r, st] → [class, ty, fieldvar, sks + i ' ', str, r0, st] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list-last, storekeys, butlast-def, ⊦ (sks + sk ') .butlast = sks], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, app-02-ant, ⊦ ¬ sks + sks0 ≠ [] ↔ sks = [] ∧ sks0 = []])], [EXTRATERMS : (class, ty, fieldvar, sks + i ' ', str, r0, st)]]