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Proof step 13 from proof getarray-subset (previous step)

st ⊆ st0, is_array(r, st), r -- _length ∈ st, r ∈ st, n < i→n(st0[r -- _length] .intval), 0 < st0[r -- _length] .intval, # getarray(r, st0) ≤ n, # getarray(r, st0) < i→n(st0[r -- _length] .intval) ⊦ st[r -- n→i(n) '] = (getarray(r, st0)[n]), st0[r -- _length] .intval = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , 0 ≤ st[r -- _length] .intval → # getarray(r, st) = i→n(st[r -- _length] .intval) ,[st, r] → [st0, r] ,F ,storearrays , ,getarray-length ]

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 : (st0, r)]]