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Proof step 16 from proof bitsor-first-02 (previous step)

bitsor(false ', false ' + bits2) = true ' + bits1, ∀ bits1, bits2, bits. # bits < # [] → bitsor(false ' + bits, false ' + bits2) = true ' + bits1 → false ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ bits0 ≠ [] ∧ bits = false ' → bitsor(bits, bits0) = bits0

Rule argument

name: or-rec-04 rotate: F subst: [bits0, bits] → [false ' + bits2, false ']

Additional information

Used simplifier rules: ⊦ boolvar ' + bits = boolvar0 ' + bits0 ↔ (boolvar ↔ boolvar0) ∧ bits = bits0;% ⊦ ¬ bits + bits0 ≠ [] ↔ bits = [] ∧ bits0 = [];% ⊦ boolvar ' ≠ [];% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: false ' + bits2, false '