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Proof step 7 from proof okarray-length-01 (previous step)

st[r -- _length] = intval(st[r -- _length] .intval), st[r -- _type] = typeval(mkarraytype(ty0)), r -- _type ∈ st, ty0 ≤ ty, r -- _length ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r ∈ st, 0 ≤ st[r -- _length] .intval, ∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → okval(st[r -- j '], ty) ⊦ val2int(st[r -- _length]) = st[r -- _length] .intval, r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ is_integervalue(val) → val2int(val) = val .intval

Rule argument

[speclemmaarg: ,is_integervalue(val) → val2int(val) = val .intval ,[val] → [st[r -- _length]] ,F ,valuefuns , ,val2int-int-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_integervalue(val) → val .intval = 0], [CSIMPSEQ : ⊦ val2int(intval(i)) = i])], [EXTRATERMS : (st[r -- _length])]]