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Proof step 56 from proof put-switch-primval-index-index (previous step)

st[r -- sks1] = refval(r1), st[r0 -- sks] = refval(r2), fits(r, sks1 + sk ', st), ∃ i. sk = i ', fits(r0, sks, st), fits(r2, i ' ', st), r2 ≠ r1 ∨ i ' ≠ sk, r1 ≠ r2 ∨ sk ≠ i ' ⊦ (st[r2 -- i ', val0][r1 -- sk, val]) = (st[r2 -- i ', val0][(st[r2 -- i ', val0][r -- sks1]) .refval -- sk, val]), sks = [], is_referencevalue(val), is_referencevalue(val0), is_referencevalue(st[r -- (sks1 + sk ')]), is_referencevalue(st[r0 -- (sks + i ' ')]), junkref(str, r, st), junkref(str, r0, st), junkref(str, r1, st), is_referencevalue(st[r1 -- sk])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 55:
st[r -- sks1] = refval(r1), st[r0 -- sks] = refval(r2), fits(r, sks1 + i0 ' ', st), fits(r0, sks, st), fits(r2, i ' ', st), r2 ≠ r1 ∨ i ≠ i0, r1 ≠ r2 ∨ i0 ≠ i ⊦ (st[r2 -- i ', val0][r1 -- i0 ', val]) = (st[r2 -- i ', val0][(st[r2 -- i ', val0][r -- sks1]) .refval -- i0 ', val]), sks = [], is_referencevalue(val), is_referencevalue(val0), is_referencevalue(st[r -- (sks1 + i0 ' ')]), is_referencevalue(st[r0 -- (sks + i ' ')]), junkref(str, r, st), junkref(str, r0, st), junkref(str, r1, st), is_referencevalue(st[r1 -- i0 '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : storekey, , inj-04, ⊦ i ' = i0 ' ↔ i = i0])]]