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Proof step 26 from proof isarray-put (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), r -- _type ∈ st, okarray(r, ty0, st), okval(val, ty), r ∈ st ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, r = jvmref, r ≠ jvmref ∧ r -- _type ∈ st[r1 -- mkfs(class, ty, fieldvar) ', val] ∧ is_typevalue(st[r1 -- mkfs(class, ty, fieldvar) ', val][r -- _type]) ∧ is_arraytype((st[r1 -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type) ∧ okarray(r, (st[r1 -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type .type, st[r1 -- mkfs(class, ty, fieldvar) ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
st[r -- _type] = typeval(mkarraytype(ty0)), r ∈ st, okval(val, ty), okarray(r, ty0, st), r -- _type ∈ st ⊦ r = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, okarray(r, ty0, st[r1 -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ ty ≠ void_type → (st[ r -- mkfs (class, ty, fieldvar) ', val] [r0 -- _type ] ) = st[r0 -- _type]], [CSIMPSEQ : ⊦ ty ≠ void_type → mkfs(class, ty, fieldvar) ' ≠ _type], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st])]]