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Theorem notin-03

⊦ ¬ a ∈ x → pos(a, x) = # x

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: possize-notin,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 4
Used lemmas: pos-n, pos-e,
Used spec theorems:
- Used simplifier rules:
  - list-data/size-01
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/eq-01
  - list/in-06
  - list/a
  - nat-basic2/succ
  - list/len-05
  - list/c