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Proof step 53 from proof put-switch-primval-index-field (previous step)

sks0 = sks + sk0 ', sk0 = 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 52:
is_indexkey(sk), fits(r, sks1 + sk ', st), fits(r0, sks + mkfs(class, ty, fieldvar) ' ', st) ⊦ (st[r -- (sks1 + sk '), val][r0 -- (sks + mkfs(class, ty, fieldvar) ' '), val0]) = (st[r0 -- (sks + mkfs(class, ty, fieldvar) ' '), val0][r -- (sks1 + sk '), val]), 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 : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, e-02, ⊦ sks + sk ' ≠ []])]]