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Proof step 15 from proof getintarray-in (previous step)

0 < st[r -- _length] .intval, n < i→n(st[r -- _length] .intval) ⊦ st[r -- _length] .intval = 0, (intvalues(getarray(r, 0, st[r -- _length] .intval, st))[n]) = st[r -- n→i(n) '] .intval ∧ ¬ st[r -- _length] .intval ≤ n→i(n)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ m < # vals → (intvalues(vals)[m]) = vals[m] .intval
Proof step 7:
⊦ 0 < j → # getarray(r, i, j, st) = i→n(j)
Proof step 14:
n < # getarray(r, 0, st[r -- _length] .intval, st), 0 < st[r -- _length] .intval, n < i→n(st[r -- _length] .intval) ⊦ st[r -- _length] .intval = 0, (getarray(r, 0, st[r -- _length] .intval, st)[n]) .intval = st[r -- n→i(n) '] .intval ∧ ¬ st[r -- _length] .intval ≤ n→i(n)

Rule argument

[speclemmaarg: ,m < # vals → (intvalues(vals)[m]) = vals[m] .intval ,[m, vals] → [n, getarray(r, 0, st[r -- _length] .intval, st)] ,F ,valuesfuns , ,intvalues-at ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ m < n ↔ n ≤ m], [CSIMPSEQ : ⊦ m < n → (n ≤ m ↔ false)])], [EXTRATERMS : (n, getarray(r, 0, st[r -- _length] .intval, st))]]