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Proof step 25 from proof put-switch-primval-field-field (previous step)

st[r -- sks1] = refval(r1), st[r0 -- sks] = refval(r2), fits(r0, sks + mkfs(class0, ty0, fieldvar0) ' ', st), fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st), mkfs(class, ty, fieldvar) ' ∈ sks, r1 ≠ r2 ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0 ⊦ sks = [], (st[r1 -- mkfs(class, ty, fieldvar) ', val][(st[r1 -- mkfs(class, ty, fieldvar) ', val][r0 -- sks]) .refval -- mkfs(class0, ty0, fieldvar0) ', val0] ) = (st[r2 -- mkfs(class0, ty0, fieldvar0) ', val0] [(st[r2 -- mkfs(class0, ty0, fieldvar0) ', val0][r -- sks1]) .refval -- mkfs(class, ty, fieldvar) ', val ] ), is_referencevalue(val), is_referencevalue(val0), is_reftype(ty), is_reftype(ty0), 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: [str, fieldvar, ty, class, st, sks, r] → [str, fieldvar, ty, class, st, sks + mkfs(class0, ty0, fieldvar0) ' ', r0] 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 : (str, fieldvar, ty, class, st, sks + mkfs(class0, ty0, fieldvar0) ' ', r0)]]