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Proof step 9 from proof band-neg (previous step)

bitsand(int2bits(i), int2bits(j)) = false ' + bits, j < 0, i < 0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ bits.first ∧ bits0.first ∧ bits ≠ [] ∧ bits0 ≠ [] → bitsand(bits, bits0) ≠ false ' + bits1

Rule argument

name: and-false rotate: F subst: [bits1, bits0, bits] → [bits, int2bits(j), int2bits(i)]

Additional information

Used simplifier rules: ⊦ j < 0 → int2bits(j).first;% ⊦ int2bits(j) ≠ []; Used terms: bits, int2bits(j), int2bits(i)