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Proof step 1 from proof or-two-04 (conclusion)

⊦ bitsor(boolvar ' + false ', bits0 + boolvar1 ' + false ') = bitsor(boolvar ', bits0 + boolvar1) + false '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ bits ≠ [] ∧ bits0 ≠ [] → bitsor(bits + boolvar ', bits0 + boolvar0 ') = bitsor(bits, bits0) + (boolvar ∨ boolvar0)'

Rule argument

name: or-last rotate: F subst: [boolvar0, bits0, boolvar, bits] → [false, bits0 + boolvar1 ', false, boolvar ']

Additional information

Used simplifier rules: ⊦ bits + bits0 = bits + bits1 ↔ bits0 = bits1;% ⊦ bits + boolvar = bits + boolvar ';% ⊦ boolvar ' ≠ [];% ⊦ ¬ bits + bits0 ≠ [] ↔ bits = [] ∧ bits0 = [];% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: false, bits0 + boolvar1 ', false, boolvar '