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Proof step 4 from proof sgn-first-02 (previous step)

sgn(true ' + bits).first ↔ true, sgn(true ' + bits) = false ' + bits0, false ∈ bits ⊦

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 2 flags: discard

Additional information

Used simplifier rules: ⊦ (boolvar ' + bits).first ↔ boolvar;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;