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Proof step 14 from proof isarray-addarray-other (previous step)

is_array(r, st) ⊦ r = r0, r ≠ jvmref ∧ r -- _type ∈ addarray(r0, ty0, vals, st) ∧ is_typevalue(addarray(r0, ty0, vals, st)[r -- _type]) ∧ is_arraytype((addarray(r0, ty0, vals, st)[r -- _type]) .type) ∧ okarray(r, (addarray(r0, ty0, vals, st)[r -- _type]) .type .type, addarray(r0, ty0, vals, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ r ≠ r0 → (r -- sk ∈ addarray(r0, ty, vals, st) ↔ r -- sk ∈ st)
Proof step 3:
⊦ r ≠ r0 → (addarray(r, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]
Proof step 13:
is_array(r, st), is_arraytype(st[r -- _type] .type), is_typevalue(st[r -- _type]), r -- _type ∈ st, r ∈ st ⊦ r = r0, okarray(r, st[r -- _type] .type .type, addarray(r0, ty0, vals, st)) ∧ r ≠ jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ ¬ is_typevalue(noval)], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ ¬ is_arraytype(void_type)], [CSIMPSEQ : ⊦ ¬ is_typevalue(val) → val .type = void_type], [CSIMPSEQ : ⊦ ¬ is_arraytype (st[r -- _type] .type) → ¬ is_array(r, st)])]]