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Proof step 24 from proof bitsor-bi-sgn (previous step)

∀ bits, bits1. # bits1 < # true ' → true → bits ≠ [] ∧ bits1 ≠ [] → bits2int(bitsor(sgn(bits), bits1)) = bits2int(bitsor(bits, bits1)) ⊦ bits = [], bits2int(bitsor(sgn(bits), true ')) = ~1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ bits ≠ [] ∧ bits0 = true ' → bitsor(bits, bits0) = true '

Rule argument

name: or-rec-01 rotate: F subst: [bits0, bits] → [true ', sgn(bits)]

Additional information

Used simplifier rules: ⊦ sgn(bits) = [] ↔ bits = [];% ⊦ bits2int(true ') = ~1; Used terms: true ', sgn(bits)