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Proof step 28 from proof int2bytes-le255 (previous step)

0 ≤ i, # uint2bits(i) = 9, 127 < i, i ≤ 255, 0 < i, 0 ≤ i, 128 ≤ i, i < 256 ⊦ bits2bytes(false ') + i2b(bits2int(uint2bits(i).rest)) ' = i2b(0) ' + i2b(i - 256) '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ # bits ≤ 8 → bits2bytes(bits) = i2b(bits2int(bits)) '
Proof step 30:
# false ' ≤ 8, 0 ≤ i, # uint2bits(i) = 9, 127 < i, i ≤ 255, 0 < i, 0 ≤ i, 128 ≤ i, i < 256 ⊦ i2b(bits2int(false ')) ' + i2b(bits2int(uint2bits(i).rest)) ' = i2b(0) ' + i2b(i - 256) '

Rule argument

name: bits2bytes-base rotate: F subst: [bits] → [false ']

Additional information

Used simplifier rules: ⊦ # boolvar ' = 0 +1; Used terms: false '