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Proof step 38 from proof put-switch-primval-field-index (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 37:
st[r -- sks1] = refval(r1), st[r0 -- sks] = refval(r2), fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st), fits(r0, sks + i ' ', st) ⊦ sks1 = [], (st[r2 -- i ', val0][r1 -- mkfs(class, ty, fieldvar) ', val]) = (st[r2 -- i ', val0][(st[r2 -- i ', val0][r -- sks1]) .refval -- mkfs(class, ty, fieldvar) ', val]), sks = [], junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r0 -- (sks + i ' ')]), is_reftype(ty), is_referencevalue(val0), is_referencevalue(val), mkfs(class, ty, fieldvar) ' ∈ sks, ¬ i ' ∈ sks1 ∧ sks1 ≠ []

Rule argument

[fma-arg: sks1 = []]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : storefuns, , lookup-empty, ⊦ st[r -- []] = refval(r)], [CSIMPNAMEDSEQ : javavalue, , inj-03, ⊦ refval(r) = refval(r0) ↔ r = r0], [CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r], [CSIMPNAMEDSEQ : list, storekeys, Nil, ⊦ [] + sks = sks], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, in-empty, ⊦ ¬ sk ∈ []])], [EXTRAFMAS : (sks1 = [])]]