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Theorem mk-empty

⊦ mklist(a, m) = [] ↔ m = 0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: mk-succ, mk-zero,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/succ
  - nat-basic2/a
  - nat-basic2/c
  - list/app-02-ant
  - list/e
  - list/a