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Theorem bitsor-com

⊦ bits ≠ [] ∧ bits0 ≠ [] → bitsor(bits, bits0) = bitsor(bits0, bits)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bitsor-bi-sgn, bitsor-first-01, bxor-def-logic,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 13
Proof steps: 25
Used lemmas: or-last, or-rec-04, or-rec-03, or-rec-02, or-rec-01, or-rec,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/app-06
  - nat-basic2/s
  - nat-basic1/ref-1
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/one
  - list/bitlista/len
  - list/bitlista/a
  - list/bitlista/e-02
  - list-last/bitlista/last-elim
  - list/bitlista/Last
  - list/bitlista/e
  - list/bitlista/c-04
  - list/bitlista/len-02
  - bitlista/one-01
  - bitlista/one-02
  - list-data/bitlista/l
  - nat-basic1/one