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Theorem rest-in

⊦ a ∈ restn(n, x) ∧ n ≤ # x → a ∈ x

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by: firstn-restn-in, rest-in-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: elim-firstn-restn,
Used spec theorems:
- Used simplifier rules:
  - list/len
  - list/a
  - nat/lep
  - nat-basic2/a
  - nat-basic2/c
  - list/in-12