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Proof step 254 from proof int2bytes-rec-pos-any (previous step)

0 ≤ j, 0 < j, 256 ≤ j, # int2bits(j % 256) < 8, 0 ≤ b2i(i2b(j % 256)) ⊦ mklist(false, 8 - # int2bits(j % 256)) + int2bits(j % 256) = [], 9 = # int2bits(j % 256), # int2bits(j % 256) = 8, i2b(bits2uint(int2bits(j % 256))) = i2b(j % 256), bits2uint(int2bits(j % 256)) = j % 256

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 ≤ i → int2bits(i) = uint2bits(i) subst: [i] → [j % 256] rotate: F spec: int2bits inst: name: int2bits-pos

Additional information

Used simplifier rules: ⊦ 0 < j ∧ 0 ≤ i → 0 ≤ i % j;% ⊦ 0 ≤ i → bits2uint(uint2bits(i)) = i; Used terms: j % 256