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Proof step 10 from proof int2bytes-byte-neg (previous step)

~256 < i, i < ~128, i < 0 ⊦ bits2bytes(firstn(1, int2bits(i))) + bits2bytes(restn(1, int2bits(i))) = i2b(~1) ' + i2b(i) '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ bits ≠ [] → firstn(1, bits) = bits.first '
Proof step 12:
int2bits(i) ≠ [], ~256 < i, i < ~128, i < 0 ⊦ bits2bytes(int2bits(i).first ') + bits2bytes(restn(1, int2bits(i))) = i2b(~1) ' + i2b(i) '

Rule argument

seq: ⊦ bits ≠ [] → firstn(1, bits) = bits.first ' subst: [bits] → [int2bits(i)] rotate: F spec: list-del inst: bitlista name: firstN-one

Additional information

Used simplifier rules: ⊦ int2bits(j) ≠ []; Used terms: int2bits(i)