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Proof step 23 from proof and-sgn (previous step)

∀ bits1, bits. # bits1 < # false ' → true → bits = [] ∨ bits1 = [] ∨ sgn(bitsand(sgn(bits), bits1)) = sgn(bitsand(bits, bits1)) ⊦ bits = [], sgn(bitsand(sgn(bits), false ')) = false '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 24:
⊦ bits ≠ [] ∧ bits0 = false ' → bitsand(bits, bits0) = false '

Rule argument

name: and-rec-02 rotate: F subst: [bits0, bits] → [false ', sgn(bits)]

Additional information

Used simplifier rules: ⊦ sgn(bits) = [] ↔ bits = [];% ⊦ sgn(boolvar ') = boolvar ';% ⊦ boolvar ' = boolvar0 ' ↔ boolvar ↔ boolvar0; Used terms: false ', sgn(bits)