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Proof step 6 from proof in-init-06 (previous step)

⊦ fs ' = _type, fs ' = _length, r -- fs ' ∈ addarray(r0, ty, vals, st) ↔ r -- fs ' ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ addarray(r, ty, vals, st) = addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals))])
Proof step 5:
⊦ fs ' = _type, fs ' = _length, r -- fs ' ∈ addarray(r0, vals, 0, st[r0 -- _type, typeval(mkarraytype(ty))][r0 -- _length, intval(n→i(# vals))]) ↔ r -- fs ' ∈ st

Rule argument

[crewrite-arg: addarrayinit-def , F , [st, vals, ty, r] → [st, vals, ty, r0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, vals, ty, r0)]]