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Proof step 13 from proof isarray-put-samefield-01 (previous step)

r -- mkfs(class, ty, fieldvar) ' ∈ st, oktype(st[r -- mkfs(class, ty, fieldvar) '], ty, st), oktype(val, ty, st), r ≠ jvmref ∧ r -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ is_typevalue(st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) ∧ is_arraytype((st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type) ∧ okarray(r, (st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type .type, st[r -- mkfs(class, ty, fieldvar) ', val]), r ∈ st ⊦ mkfs(class, ty, fieldvar) ' = _length, mkfs(class, ty, fieldvar) ' = _type, is_array(r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ okarray(r, ty, st) → r ≠ jvmref ∧ r ∈ st
Proof step 12:
okarray(r, st[r -- _type] .type .type, st[r -- mkfs(class, ty, fieldvar) ', val]), is_arraytype(st[r -- _type] .type), is_typevalue(st[r -- _type]), r -- _type ∈ st, oktype(val, ty, st), oktype(st[r -- mkfs(class, ty, fieldvar) '], ty, st), r -- mkfs(class, ty, fieldvar) ' ∈ st, r ∈ st ⊦ r = jvmref, mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, is_array(r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ∈ st[r -- sk, val]], [CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : sk ≠ sk0 ⊦ r -- sk ∈ st[r -- sk0, val] ↔ r -- sk ∈ st])]]