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Proof step 8 from proof sgn-lastn (previous step)

⊦ lastn(# bits0 + 1, boolvar ' + bits0) = boolvar ' + bits0, (¬ boolvar) ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ n = # bits → lastn(n, bits) = bits

Rule argument

seq: ⊦ n = # bits → lastn(n, bits) = bits subst: [bits, n] → [boolvar ' + bits0, # bits0 + 1] rotate: F spec: list-del inst: bitlista name: lastN-all

Additional information

Used simplifier rules: ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ # boolvar ' = 0 +1;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ m + n = m + n0 ↔ n = n0;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: boolvar ' + bits0, # bits0 + 1