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Theorem mk-elem

⊦ a ∈ mklist(b, n) → a = b

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by: mk-head, mk-head-01, mk-inj, mklist-rmdup,
Used by units in proved state: list-perm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 7
Used lemmas: mk-succ, mk-zero,
Used spec theorems:
- Used simplifier rules:
  - list/in-empty
  - nat-basic/succ
  - list/a
  - list/in-01