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Theorem allls-notgr

n < # x ⊦ all<(x, a) → ¬ a < x[n]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas: allls-def,
Used spec theorems:
- Used simplifier rules:
  - list-data/l
  - nat-basic/f
  - weakord/tord/irreflexivity
  - list-del/get-in
  - weakord/tord/transitivity