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Proof step 18 from proof getbytearray-addarray-this (previous step)

n < i→n(i), 0 < i, n→i(n) < i ⊦ (addarray(r, byte_type, i, st)[r -- n→i(n) ']) .byteval = i2b(0), i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ 0 ≤ j ∧ j < i → (addarray(r, ty, i, st)[r -- j ']) = initial_value(ty)
Proof step 17:
0 ≤ n→i(n) ∧ n→i(n) < i, n < i→n(i), 0 < i, n→i(n) < i ⊦ initial_value(byte_type) .byteval = i2b(0), i = 0

Rule argument

[crewrite-arg: at-1dim , F , [j, st, i, ty, r] → [n→i(n), st, i, byte_type, r] ]

Additional information

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