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Proof step 9 from proof switch-array (previous step)

r0 ≠ r, ∀ st, vals0, ty0, ty, r0, r, vals1. # vals1 < # [] → (true → r = r0 ∨ addarray(r, ty, vals1, addarray(r0, ty0, vals0, st)) = addarray(r0, ty0, vals0, addarray(r, ty, vals1, st))) ⊦ r = r0, (addarray(r0, ty0, vals0, st[r -- _type, typeval(mkarraytype(ty))])[r -- _length, intval(0)]) = addarray(r0, ty0, vals0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(0)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
∀ st, vals0, ty0, ty, r0, r, vals1. # vals1 < # [] → (true → r = r0 ∨ addarray(r, ty, vals1, addarray(r0, ty0, vals0, st)) = addarray(r0, ty0, vals0, addarray(r, ty, vals1, st))) ⊦ r0 = r, (addarray(r0, ty0, vals0, st[r -- _type, typeval(mkarraytype(ty))])[r -- _length, intval(0)]) = addarray(r0, ty0, vals0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(0)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]