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Theorem in

⊦ a ∈ y ∧ ¬ a ∈ x → ¬ perm(x, y)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: adjoin, del-04, in-04, perm-del-in, perm-put, shift-03, subperm, subperm-01,
Used by units in proved state: olist-sort,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: in-05, notin, msubset, perm,
Used spec theorems:
- Used simplifier rules:
  - nat/lez-01