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Proof step 31 from proof bitsand-cast-04 (previous step)

# bits0 < # bits1, # bits1 ≤ # bits0 + n0 ⊦ sgn(bitsand(mklist(true, n0) + true ' + bits0, false ' + bits1)) = sgn(bitsand(true ' + bits0, false ' + bits1)), n0 = 0, bits1 = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 32:
⊦ ¬ false ∈ bits → bitsand(bits + true ' + bits0, false ' + bits1) = bitsand(true ' + bits0, false ' + bits1)

Rule argument

name: bitsand-app-ones rotate: F subst: [bits1, bits0, bits] → [bits1, bits0, mklist(true, n0)]

Additional information

Used simplifier rules: ⊦ ¬ false ∈ mklist(true, n); Used terms: bits1, bits0, mklist(true, n0)