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Proof step 8 from proof addarray-identity (previous step)

st[r -- _type] .type = mkarraytype(ty), is_fskey(sk), is_array(r, st) ⊦ sk ≠ _type, (r -- sk ∈ addarray(r, ty, getarray(r, st), st) → r -- sk ∈ st) ∧ (addarray(r, ty, getarray(r, st), st)[r -- sk]) = st[r -- sk]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ r -- _type ∈ addarray(r, ty, vals, st)
Proof step 6:
⊦ (addarray(r, ty, vals, st)[r -- _type]) = typeval(mkarraytype(ty))
Proof step 7:
st[r -- _type] .type = mkarraytype(ty), is_array(r, st), r -- _type ∈ st, r ∈ st ⊦ typeval(mkarraytype(ty)) = st[r -- _type]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ ¬ r -- _type ∈ st → ¬ is_array(r, st)], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ is_fskey(_type)])]]