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Proof step 9 from proof getarray-in (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
0 ≤ i ⊦ i ≤ n→i(n) ↔ i→n(i) ≤ n

Rule argument

[speclemmaarg: 0 ≤ i ,((* i)) ≤ n→i(n) ↔ i→n(i) ≤ n ,[n, i] → [n, st[r -- _length] .intval] ,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, st[r -- _length] .intval)]]