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Theorem lenle

unique_al(ax), ∀ a. a ∈ ax → a ∈ ax0 ⊦ # ax ≤ # ax0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 15
Used lemmas: ex, empty, unique-e, inone, unique-r, inapp,
Used spec theorems:
- Used simplifier rules:
  - list-data/l
  - nat-basic/f
  - nat/le-def
  - list/a
  - list/c
  - nat/lels
  - nat-basic/c
  - nat-basic/a
  - nat-basic/s-04
  - nat-basic/succ
  - list/len-05
  - list/e-01
  - list-data/size-nil
  - nat/lez-01
  - nat/succ-01
  - list/len