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Proof step 1028 from proof bitsand-cast (previous step)

# bits0 < # bits1 ⊦ # bits1 = # fillsgn(# bits1, mklist(false, # bits0)), bits1 = lastn(# bits1, fillsgn(# bits1, mklist(false, # bits0))), bits2 + bits1 = [], bits0 = [], bits1 = [], bits0.first, true ∈ bits1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1029:
⊦ # bits ≤ n → # fillsgn(n, bits) = n

Rule argument

seq: ⊦ # bits ≤ n → # fillsgn(n, bits) = n subst: [bits, n] → [mklist(false, # bits0), # bits1] rotate: F spec: bitopsaux inst: name: fill-length

Additional information

Used simplifier rules: ⊦ # mklist(boolvar, n) = n;% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < n → ¬ n < m; Used terms: mklist(false, # bits0), # bits1