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Theorem inapp

⊦ ¬ a ∈ x ∧ ¬ a ∈ y → (x + a ' + y = z + a ' + y0 ↔ y = y0 ∧ x = z)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: app-08, in-rec, c-08, e-01, c-07, first, rest, e-02, first-app, e, app-02-ant, firsteq, inapp-02, in-01, in-append, in-14, in-06, c, in-empty, inapp-04, Nil, a,
Used spec theorems:
- Used simplifier rules:
  - list-data/elim-list-c