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Proof step 348 from proof bitsand-cast (previous step)

n = # fillsgn(n, bits), # bits0 + 1 < n, # bits0 < # bits, # bits < n, # bits0 < n ⊦ mklist(false, n) = lastn(n, fillsgn(n, mklist(false, # bits0))), bits0 = [], bits = [], bits0.first, true ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 349:
⊦ n = # bits → lastn(n, bits) = bits
Proof step 350:
n ≠ # fillsgn(n, mklist(false, # bits0)), n = # fillsgn(n, bits), # bits0 + 1 < n, # bits0 < # bits, # bits < n, # bits0 < n ⊦ mklist(false, n) = lastn(n, fillsgn(n, mklist(false, # bits0))), bits0 = [], bits = [], bits0.first, true ∈ bits
Proof step 353:
n = # fillsgn(n, mklist(false, # bits0)), n = # fillsgn(n, bits), # bits0 + 1 < n, # bits0 < # bits, # bits < n, # bits0 < n ⊦ mklist(false, n) = fillsgn(n, mklist(false, # bits0)), bits0 = [], bits = [], bits0.first, true ∈ bits

Rule argument

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

Additional information

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