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Theorem mk-empty

⊦ mklist(a, m) = [] ↔ m = 0

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: mk-head, mk-head-01, mk-inj, mk-inj-01, mk-last-01-01, mk-one, mk-one-01, mk-tail, mk-tail-01,
Used by units in proved state: list-perm, list-del,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: mk-succ, mk-zero,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/succ
  - nat-basic/a
  - nat-basic/c
  - list/app-02
  - list/e
  - list/a