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Proof step 271 from proof bitsand-cast (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 272:
⊦ ¬ boolvar ∈ bits ↔ mklist(¬ boolvar, # bits) = bits
Proof step 273:
n = # fillsgn(n, bits), true ∈ bits, # bits < n ⊦ bits = [], bits0 = [], lastn(n, fillsgn(n, bits0)) = lastn(n, fillsgn(n, bitsand(bits, bits0))), mklist(¬ false, # bits) ≠ bits

Rule argument

seq: ⊦ ¬ boolvar ∈ bits ↔ mklist(¬ boolvar, # bits) = bits subst: [bits, boolvar] → [bits, false] rotate: F spec: bitlista inst: name: mklist-intro

Additional information

Used terms: bits, false