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Proof step 21 from proof isarray-put-field (previous step)

st[r -- _type] .type = mkarraytype(ty), is_typevalue(st[r -- _type]) ⊦ r = jvmref, r -- _type ∈ st[r0 -- fs ', val] ∧ okarray(r, ty, st[r0 -- fs ', val]) ↔ r -- _type ∈ st ∧ okarray(r, ty, st), fs ' = _type, fs ' = _length

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
st[r -- _type] = typeval(ty0), ty0 = mkarraytype(ty), is_typevalue(st[r -- _type]) ⊦ r = jvmref, r -- _type ∈ st[r0 -- fs ', val] ∧ okarray(r, ty, st[r0 -- fs ', val]) ↔ r -- _type ∈ st ∧ okarray(r, ty, st), fs ' = _type, fs ' = _length

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r -- _type], ty0] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r -- _type], ty0)]]