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Proof step 17 from proof int2bytes-rec-pos-04 (previous step)

b2i(i2b(i % 256)) < 0, 0 ≤ i, 0 < i, 256 ≤ i, i % 256 ≤ 127 ⊦ i2b(i % 256) ' = fix(2, i2b(i % 256) ').rest

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ~128 ≤ i, i ≤ 127 ⊦ b2i(i2b((* i))) = i subst: [i] → [i % 256] rotate: F spec: byte inst: name: num-ibbi

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;%j0 ≠ 0, j ≤ j0 ⊦ i ≤ (* j) → i ≤ (* j0);% ⊦ i < (* j) ∧ j < 0 → i < 0; (forward)% ⊦ 0 < j ∧ 0 ≤ i → ¬ i % j < 0; Used terms: i % 256