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Theorem inl

⊦ a ∈ x → pos(a, x) < # x

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: inl-01,
Used by units in proved state: list-set,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 4
Used lemmas: pos-n, pos-y,
Used spec theorems:
- Used simplifier rules:
  - list/in-empty
  - nat/lels
  - nat-basic2/s
  - nat-basic2/oz
  - nat-basic1/f
  - nat-basic2/c
  - nat-basic2/a
  - nat/succ-01
  - nat-basic2/succ
  - list/len-05
  - list/a
  - list/in-rec
  - list/c