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Theorem ordered-smallerPerms

⊦ ordered≤(ar) → smallerPerms(ar) = ∅

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: ordered-notsmaller, smaller-perms,
Used spec theorems:
- set-basic/array-set/Extension
Used simplifier rules:
- set-basic/array-set/size-zero
- set-basic/array-set/size-zero-01
- set-basic/array-set/In-empty