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Proof step 14 from proof getbar-restn (previous step)

n ≤ # getbytearray(r, st), n→i(n) ≤ st[r -- _length] .intval ⊦ # getbytearray(r, st) - n = i→n(st[r -- _length] .intval - n→i(n))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
j ≤ i, 0 ≤ j ⊦ i→n(i - j) = i→n(i) - i→n(j)
Proof step 13:
n→i(n) ≤ st[r -- _length] .intval ∧ 0 ≤ n→i(n), n ≤ # getbytearray(r, st), n→i(n) ≤ st[r -- _length] .intval ⊦ # getbytearray(r, st) - n = i→n(st[r -- _length] .intval) - i→n(n→i(n))

Rule argument

[speclemmaarg: j ≤ i, 0 ≤ j ,i→n(i - j) = i→n(i) - i→n(j) ,[j, i] → [n→i(n), st[r -- _length] .intval] ,F ,intnat , ,sub ]

Additional information

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