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Proof step 935 from proof bitsand-cast (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 936:
⊦ ¬ false ∈ bits ∧ # bits ≤ # bits0 ∧ bits ≠ [] → bitsand(bits, bits0) = bits0
Proof step 937:
¬(¬ false ∈ bits1 ∧ # bits1 ≤ # bits ∧ bits1 ≠ []), mklist(true, # bits1) = bits1, # bits = # bits1, bits.first ⊦ bits = lastn(# bits1, fillsgn(# bits1, bits2 + bitsand(bits1, bits))), bits = [], bits2 + bits1 = [], bits1 = [], bits2 = []
Proof step 939:
¬ false ∈ bits1 ∧ # bits1 ≤ # bits ∧ bits1 ≠ [], mklist(true, # bits1) = bits1, # bits = # bits1, bits.first ⊦ bits = lastn(# bits1, fillsgn(# bits1, bits2 + bits)), bits = [], bits2 + bits1 = [], bits1 = [], bits2 = []

Rule argument

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

Additional information

Used terms: bits, bits1