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Proof step 4 from proof add-isobj (previous step)

∀ st, ty, sks, class, r0, r, vals0. # vals0 < # [] → (true → r = r0 ∨ (is_obj(r0, class, sks, addarray(r, ty, vals0, st)) ↔ is_obj(r0, class, sks, st))) ⊦ is_obj(r0, class, sks, addarray(r, [], 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# []))])) ↔ is_obj(r0, class, sks, st), r = r0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ addarray(r, [], i, st) = st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → ( is_obj (r, class, sks, st[r0 -- sk, val]) ↔ is_obj(r, class, sks, st))], [CSIMPSEQ : ⊦ # [] = 0])]]