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Proof step 55 from proof put-switch-primval-index-field (previous step)

sks = sks1 + sk ', sks0 .last = mkfs(class, ty, fieldvar) ', is_indexkey(sk), fits(r, sks, st), fits(r0, sks0, st), st[r -- sks1] ≠ st[r0 -- sks0 .butlast] ∨ sk ≠ mkfs(class, ty, fieldvar) ' ⊦ (st[r -- sks, val][r0 -- sks0, val0]) = (st[r0 -- sks0, val0][r -- sks, val]), sks0 = [], sks = [], junkref(str, r0, st), junkref(str, r, st), is_reftype(ty), is_referencevalue(st[r -- sks]), is_referencevalue(val0), is_referencevalue(val)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 54:
sks0 .last = mkfs(class, ty, fieldvar) ', is_indexkey(sk), fits(r, sks1 + sk ', st), fits(r0, sks0, st) ⊦ (st[r -- (sks1 + sk '), val][r0 -- sks0, val0]) = (st[r0 -- sks0, val0][r -- (sks1 + sk '), val]), sks0 = [], sk = mkfs(class, ty, fieldvar) ', junkref(str, r0, st), junkref(str, r, st), is_reftype(ty), is_referencevalue(st[r -- (sks1 + sk ')]), is_referencevalue(val0), is_referencevalue(val)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : storekey, , test-07, ⊦ ¬ is_indexkey(fs ')], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, e-02, ⊦ sks + sk ' ≠ []])]]