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Proof step 8 from proof bitsand-cast-01 (previous step)

# bits < n ⊦ n = # fillsgn(n, bits), bits = [], bits0 = [], lastn(n, fillsgn(n, bitsand(lastn(n, fillsgn(n, bits)), bits0))) = lastn(n, fillsgn(n, bitsand(bits, bits0)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ # bits ≤ n → # fillsgn(n, bits) = n

Rule argument

seq: ⊦ # bits ≤ n → # fillsgn(n, bits) = n subst: [bits, n] → [bits, n] rotate: F spec: bitopsaux inst: name: fill-length

Additional information

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