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Proof step 1025 from proof bitsand-cast (previous step)

# bits0 < # bits1 ⊦ bits1 = [], bits0 = [], bits2 + bits1 = [], bits1 = lastn(# bits1, fillsgn(# bits1, mklist(false, # bits0))), true ∈ bits1, bits0.first

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1026:
⊦ n = # bits → lastn(n, bits) = bits
Proof step 1027:
# bits1 ≠ # fillsgn(# bits1, mklist(false, # bits0)), # bits0 < # bits1 ⊦ bits1 = [], bits0 = [], bits2 + bits1 = [], bits1 = lastn(# bits1, fillsgn(# bits1, mklist(false, # bits0))), true ∈ bits1, bits0.first
Proof step 1030:
# bits1 = # fillsgn(# bits1, mklist(false, # bits0)), # bits0 < # bits1 ⊦ bits1 = [], bits0 = [], bits2 + bits1 = [], bits1 = fillsgn(# bits1, mklist(false, # bits0)), true ∈ bits1, bits0.first

Rule argument

seq: ⊦ n = # bits → lastn(n, bits) = bits subst: [bits, n] → [fillsgn(# bits1, mklist(false, # bits0)), # bits1] rotate: F spec: list-del inst: bitlista name: lastN-all

Additional information

Used terms: fillsgn(# bits1, mklist(false, # bits0)), # bits1