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Proof step 60 from proof bib-pos-high (previous step)

lastn(8, int2bits(i)).first, 8 ≤ # int2bits(i), 0 < i % 256, 127 < i, 0 < i, 0 ≤ i, 383 < i % 256, 128 ≤ i % 256 ⊦ i % 256 = 256 + b2i(i2b(i % 256 - 256))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 61:
⊦ j ≤ i0 ∧ 0 < j → ¬ i0 < i % j

Rule argument

seq: ⊦ j ≤ i0 ∧ 0 < j → ¬ i0 < i % j subst: [j, i, i0] → [256, i, 383] rotate: F spec: int-div inst: name: mod-nls-01

Additional information

Used simplifier rules: ⊦ j ≤ i0 ∧ 0 < j → ¬ i0 < i % j; Used terms: 256, i, 383