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Proof step 5 from proof at-field-1dim (previous step)

is_fskey(sk) ⊦ sk = _type, sk = _length, (addarray(r0, ty, i, st)[r0 -- sk]) = st[r0 -- sk]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ addarray(r, ty, i, st) = addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)])
Proof step 4:
is_fskey(sk) ⊦ sk = _type, sk = _length, (addarray(r0, initial_value(ty), i, st[r0 -- _type, typeval(mkarraytype(ty))][r0 -- _length, intval(i)])[r0 -- sk]) = st[r0 -- sk]

Rule argument

[crewrite-arg: addarray-def, F, [st, i, ty, r] → [st, i, ty, r0]]

Additional information

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