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Proof step 15 from proof bitsor-com (previous step)

∀ bits, bits1. # bits1 < # bits0 → true → bits ≠ [] ∧ bits1 ≠ [] → bitsor(bits, bits1) = bitsor(bits1, bits) ⊦ # bits0 = 1, bits0 = false ', bits0 = true ', bitsor(false ', bits0) = bitsor(bits0, false '), bits0 = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ bits0 ≠ [] ∧ bits = false ' → bitsor(bits, bits0) = bits0
Proof step 17:
bits0 ≠ [] ∧ false ' = false ', ∀ bits, bits1. # bits1 < # bits0 → true → bits ≠ [] ∧ bits1 ≠ [] → bitsor(bits, bits1) = bitsor(bits1, bits) ⊦ # bits0 = 1, bits0 = false ', bits0 = true ', bits0 = bitsor(bits0, false '), bits0 = []

Rule argument

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

Additional information

Used terms: bits0, false '