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Theorem inapp-02

⊦ ¬ a ∈ y → (y + c ' + z = a ' + z0 ↔ y = [] ∧ c = a ∧ z = z0)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: inapp, inapp-03, inapp-05, inapp-06, inex-01, isin, isin-01, neq-01, neq-02, neq-07, two,
Used by units in proved state: list-last, list-del, list-dup,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: in-06, c, in-empty, c-06, in-rec, in-append, in-14, app-08, a, Nil,
Used spec theorems:
- Used simplifier rules: