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Proof step 74 from proof put-switch-primval-index-index (previous step)

sks0 = sks + sk0 ', fits(r0, sks0, st), fits(r, sks1 + sk ', st), is_indexkey(sk0), is_indexkey(sk), st[r -- sks1] ≠ st[r0 -- sks] ∨ sk ≠ sk0 ⊦ sks0 = [], (st[r -- (sks1 + sk '), val][r0 -- sks0, val0]) = (st[r0 -- sks0, val0][r -- (sks1 + sk '), val]), is_referencevalue(val), is_referencevalue(val0), is_referencevalue(st[r -- (sks1 + sk ')]), is_referencevalue(st[r0 -- sks0]), junkref(str, r, st), junkref(str, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 73:
fits(r0, sks + sk0 ', st), fits(r, sks1 + sk ', st), is_indexkey(sk0), is_indexkey(sk), st[r -- sks1] ≠ st[r0 -- sks] ∨ sk ≠ sk0 ⊦ (st[r -- (sks1 + sk '), val][r0 -- (sks + sk0 '), val0]) = (st[r0 -- (sks + sk0 '), val0][r -- (sks1 + sk '), val]), is_referencevalue(val), is_referencevalue(val0), is_referencevalue(st[r -- (sks1 + sk ')]), is_referencevalue(st[r0 -- (sks + sk0 ')]), junkref(str, r, st), junkref(str, r0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, e-02, ⊦ sks + sk ' ≠ []])]]