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Proof step 4 from proof get-put-03 (previous step)

⊦ (r -- sk) .key ≠ _length ∧ is_fskey((r -- sk) .key) → getbytearray(r0, i, j, st[r -- sk, val]) = getbytearray(r0, i, j, st)

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ getbytearray(r, i, j, st[r0 -- fs ', val]) = getbytearray(r, i, j, st)
Proof step 2:
⊦ getbytearray(r, i, j, st) = bytevalues(getarray(r, i, j, st))
Proof step 3:
⊦ getbytearray(r, i, j, st) = bytevalues(getarray(r, i, j, st))

Rule argument

[VARWITHFMAVARSARG : sk, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : storekey generated by ', ';], [CSIMPSEQ : ⊦ (r -- sk) .key = sk], [CSIMPSEQ : ⊦ _length ≠ i '], [CSIMPSEQ : ⊦ ¬ is_fskey(i ')])]]