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Proof step 27 from proof getarray-subset (previous step)

st0[r -- _length] = intval(i0), st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _type] = typeval(mkarraytype(ty0)), 0 < i0, r -- _length ∈ st, st ⊆ st0, n < # getarray(r, st0), r ∈ st, is_arrayref(r, i0, st0), r ∈ st0, r -- _length ∈ st0, ty0 ≤ ty, r -- _type ∈ st0, n < i→n(i0), r -- _type ∈ st, i0 ≤ n→i(n), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → oktype(st0[r -- j '], ty, st0), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → oktype(st[r -- j '], ty, st) ⊦ getarray(r, st0) = [], i0 = 0, noval = st0[r -- n→i(n) '], r = jvmref, n = 0, r -- n→i(n) ' ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: 0 ≤ i ,((* i)) ≤ n→i(n) ↔ i→n(i) ≤ n ,[n, i] → [n, i0] ,F ,intnat , ,num-n2i-ls-06 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ≠ j → (i ≤ j ↔ i < j)], [CSIMPSEQ : ⊦ m ≤ n → (n < m ↔ false)])], [EXTRATERMS : (n, i0)]]