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Proof step 32 from proof put-switch-primval-index-field (previous step)

st[r0 -- sks] = refval(r2), st[r -- sks1] = refval(r1), fits(r0, sks + mkfs(class, ty, fieldvar) ' ', st), fits(r, sks1 + i ' ', st) ⊦ sks = [], sks1 = [], (st[r1 -- i ', val][(st[r1 -- i ', val][r0 -- sks]) .refval -- mkfs(class, ty, fieldvar) ', val0]) = (st[r1 -- i ', val][r2 -- mkfs(class, ty, fieldvar) ', val0]), is_reftype(ty), junkref(str, r, st), junkref(str, r0, st), mkfs(class, ty, fieldvar) ' ∈ sks1, is_referencevalue(val), is_referencevalue(val0), is_referencevalue(st[r1 -- i ']), ¬ junkref(str, r1, st) ∧ fits(r0, sks, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: fits-append antecedent: succedent: fits(r, sks + sks0, st) ↔ fits(r, sks, st) ∧ fits(st[r -- sks] .refval, sks0, st) substlist: [st, sks0, sks, r] → [st, mkfs(class, ty, fieldvar) ' ', sks, 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 : ()], [EXTRATERMS : (st, mkfs(class, ty, fieldvar) ' ', sks, r0)]]