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Proof step 924 from proof bitsand-cast (previous step)

mklist(true, # bits1) = bits1, # bits = # bits1, bits1.first ⊦ bits1 = [], bits = lastn(# bits1, fillsgn(# bits1, bits3 + bitsand(bits, bits1))), bits3 + bits = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 925:
⊦ ¬ false ∈ bits ∧ # bits ≤ # bits0 ∧ bits ≠ [] → bitsand(bits0, bits) = bits0
Proof step 926:
¬(¬ false ∈ bits1 ∧ # bits1 ≤ # bits ∧ bits1 ≠ []), mklist(true, # bits1) = bits1, # bits = # bits1, bits1.first ⊦ bits1 = [], bits = lastn(# bits1, fillsgn(# bits1, bits3 + bitsand(bits, bits1))), bits3 + bits = []
Proof step 928:
¬ false ∈ bits1 ∧ # bits1 ≤ # bits ∧ bits1 ≠ [], mklist(true, # bits1) = bits1, # bits = # bits1, bits1.first ⊦ bits1 = [], bits = lastn(# bits1, fillsgn(# bits1, bits3 + bits)), bits3 + bits = []

Rule argument

name: add-ones-lelen-01 rotate: F subst: [bits, bits0] → [bits1, bits]

Additional information

Used terms: bits1, bits