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Theorem size-two-01

⊦ #(∅ ++ a ++ b) = 2 ↔ a ≠ b

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: size-three-02, size-two,
Used by units in proved state: oset,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: Size-insert, in-04, eq, size-one-01, add-01,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/a
  - nat-basic2/c