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Theorem delpos-get-fw

⊦ ¬ a ∈ x -p n ∧ a ∈ x → a = x(n)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 9
Used lemmas: delpos-base, delpos-rec, get-succ, get-zero,
Used spec theorems:
- Used simplifier rules:
  - list/in-empty
  - list/c
  - list/a
  - list/in-rec
  - nat-basic/succ
  - nat-basic/a
  - nat-basic/c
  - list/in-06