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Proof step 13 from proof bits2bits-inj (previous step)

# bits % 8 = 0, 8 < # bits, ∀ bits0. # bits0 < # bits → # bits0 % 8 = 0 → bits0 = [] ∨ bytes2bits(bits2bytes(bits0)) = bits0 ⊦ # lastn(8, bits) = 8, bytes2bits(bits2bytes(firstn(# bits - 8, bits))) + byte2bits(i2b(bits2int(lastn(8, bits)))) = bits, bits = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ n ≤ # bits → # lastn(n, bits) = n

Rule argument

seq: ⊦ n ≤ # bits → # lastn(n, bits) = n subst: [bits, n] → [bits, 8] rotate: F spec: list-del inst: bitlista name: lastN-length

Additional information

Used simplifier rules: ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < n → ¬ n < m; Used terms: bits, 8