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Proof step 1 from proof inv-len (conclusion)

⊦ # bitsinvert(bits) = # bits

Heuristic structural induction applied rule structural induction

And closed the goal!

Rule argument

term: bits

Additional information

Used simplifier rules: invert-base: ⊦ bitsinvert([]) = [];%inv-append: ⊦ bitsinvert(bits + bits0) = bitsinvert(bits) + bitsinvert(bits0);%inv-one: ⊦ bitsinvert(boolvar ') = (¬ boolvar)';%bitlist freely generated by [], +;;% ⊦ # [] = 0;% ⊦ boolvar + bits = boolvar ' + bits;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ # boolvar ' = 0 +1;% ⊦ m + n = m + n0 ↔ n = n0;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m;