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Proof step 10 from proof fits-law-neg (previous step)

16 < # int2bits(~ b2i(by)), b2i(by) ≤ 1 ⊦ b2i(by) + cast(16, ~ b2i(by)) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 < i → (m < # int2bits(i) ↔ ¬ i < 2 ^ (n→i(m) - 1)) subst: [i, m] → [~ b2i(by), 16] rotate: F spec: int2bits inst: name: int2bits-lslen-06

Additional information

Used simplifier rules: byte-nle-02: i < ~128 ⊦ ¬ b2i(by) ≤ (* i);% ⊦ 0 < ~ i ↔ i < 0;% ⊦ i < 0 ∧ 0 ≤ j → i ≤ j;% ⊦ ~ i < j ↔ 0 < j + i;% ⊦ (* j) < i0 + (* j0) ↔ j - j0 < i0;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used terms: ~ b2i(by), 16