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Proof step 4 from proof at-field-1dim (previous step)

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]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ is_fskey(sk) → (addarray(r, val, i, st)[r0 -- sk]) = st[r0 -- sk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))])]]