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Proof step 943 from proof bitsand-cast (previous step)

mklist(true, # bits1) = bits1, # bits = # bits1 ⊦ bits = [], bits = lastn(# bits1, fillsgn(# bits1, bitsand(bits1, bits))), bits2 + bits1 = [], bits1 = [], bits2 = [], bits.first

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 944:
⊦ ¬ false ∈ bits ∧ # bits ≤ # bits0 ∧ bits ≠ [] → bitsand(bits, bits0) = bits0
Proof step 945:
¬(¬ false ∈ bits1 ∧ # bits1 ≤ # bits ∧ bits1 ≠ []), mklist(true, # bits1) = bits1, # bits = # bits1 ⊦ bits = [], bits = lastn(# bits1, fillsgn(# bits1, bitsand(bits1, bits))), bits2 + bits1 = [], bits1 = [], bits2 = [], bits.first

Rule argument

name: add-ones-lelen rotate: F subst: [bits0, bits] → [bits, bits1]

Additional information

Used simplifier rules: ⊦ ¬ false ∈ bits → mklist(true, # bits) = bits;% ⊦ n ≤ # bits → fillsgn(n, bits) = bits;% ⊦ n = # bits → lastn(n, bits) = bits; Used terms: bits, bits1