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Proof step 16 from proof bitsinvert-size (previous step)

bitsinvert(bits0) = boolvar ' + bits1, # sgn(bitsinvert(bits0)) = # sgn(bits0), (¬ boolvar) ∈ bits0 ⊦ bits0 = [], 1 + # bits0 = # sgn(boolvar ' + bits0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: sgn-base-03 rotate: F subst: [bits, boolvar] → [bits0, boolvar]

Additional information

Used simplifier rules: inv-first-01: ⊦ bitsinvert(bits) = true ' + bits0 ↔ bits = false ' + bitsinvert(bits0);% ⊦ #(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: bits0, boolvar