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Proof step 45 from proof bytes2bytes-zero (previous step)

8 = # fillsgn(8, int2bits(b2i(by0))), b2i(by) = 0, b2i(by0) < 0, ∀ by0, by, bytes0. # bytes0 < # [] → b2i(by) = 0 ∧ b2i(by0) < 0 → bits2bytes(sgn(byte2bits(by) + byte2bits(by0) + bytes2bits(bytes0))) = by ' + by0 ' + bytes0 ⊦ fillsgn(8, int2bits(b2i(by0))) = [], bits2bytes(false ') = by '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 46:
⊦ # bits ≤ 8 → bits2bytes(bits) = i2b(bits2int(bits)) '

Rule argument

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

Additional information

Used simplifier rules: ⊦ # boolvar ' = 0 +1;% ⊦ bits2int(false ') = 0;% ⊦ by ' = by0 ' ↔ by = by0;% ⊦ b2i(by) = i → (i2b(i) ≠ by ↔ false); Used terms: false '