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Proof step 2 from proof sgn-true-mklist (previous step)

0 < i ⊦ sgn(true ' + mklist(false, i→n(i)) + bits) = true ' + mklist(false, i→n(i)) + bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ bits ≠ [] ∧ (bits.first ↔ ¬ boolvar) → sgn(boolvar ' + bits) = boolvar ' + bits
Proof step 4:
¬(mklist(false, i→n(i)) + bits ≠ [] ∧ ((mklist(false, i→n(i)) + bits).first ↔ ¬ true)), 0 < i ⊦ sgn(true ' + mklist(false, i→n(i)) + bits) = true ' + mklist(false, i→n(i)) + bits

Rule argument

name: sgn-base-03 rotate: F subst: [bits, boolvar] → [mklist(false, i→n(i)) + bits, true]

Additional information

Used simplifier rules: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: mklist(false, i→n(i)) + bits, true