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Proof step 326 from proof bitsand-cast (previous step)

n = # fillsgn(n, bits), # bits ≤ # bits0, # bits < n ⊦ bits0 = [], bits = [], mklist(false, n) = fillsgn(n, bits), true ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 327:
⊦ ¬ boolvar ∈ bits ↔ mklist(¬ boolvar, # bits) = bits
Proof step 328:
n = # fillsgn(n, bits), # bits ≤ # bits0, # bits < n ⊦ bits0 = [], bits = [], mklist(false, n) = fillsgn(n, bits), mklist(¬ true, # bits) ≠ bits

Rule argument

seq: ⊦ ¬ boolvar ∈ bits ↔ mklist(¬ boolvar, # bits) = bits subst: [bits, boolvar] → [bits, true] rotate: F spec: bitlista inst: name: mklist-intro

Additional information

Used terms: bits, true