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Proof step 3 from proof sgn-mklist (previous step)

∀ boolvar, bits. sgn(mklist(boolvar, m) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits) ⊦ sgn((boolvar ' + mklist(boolvar, m)) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits)

User applied rule cut formula

And obtained the following new goals

Proof step 4:
m = 0, ∀ boolvar, bits. sgn(mklist(boolvar, m) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits) ⊦ sgn((boolvar ' + mklist(boolvar, m)) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits)
Proof step 7:
∀ boolvar, bits. sgn(mklist(boolvar, m) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits) ⊦ m = 0, sgn((boolvar ' + mklist(boolvar, m)) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits)

Rule argument

fma: m = 0

Additional information

Used formulas: m = 0