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Proof step 161 from proof setInt-theorem (previous step)

fillsgn(4, int2bytes(i)) = by ' + by0 ' + by1 ' + by2 ', 4 < # int2bytes(i), by2 ∈ fillsgn(4, int2bytes(i)), by ∈ fillsgn(4, int2bytes(i)) ⊦ by = i2b(i >> 24) ∧ by0 = i2b(i >> 16) ∧ by1 = i2b(i >> 8) ∧ by2 = i2b(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: bytes inst: name: fillsgn-longer seq: ⊦ # bytes ≥ n → fillsgn(n, bytes) = bytes subst: [bytes, n] → [int2bytes(i), 4] flags: rewrite, current

Additional information

Used simplifier rules: ge: ⊦ n ≥ m ↔ m ≤ n; from specification nat%lels-01: ⊦ ¬ m ≤ n ↔ n < m; from specification nat%ls-02: ⊦ m < n → ¬ n < m; from specification nat-basic1 Used terms: int2bytes(i), 4