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Theorem neq-01

⊦ ¬ a ∈ y ∧ ¬ a ∈ z ∧ a ≠ c → y + c ' + z ≠ y1 + a ' + x

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: neq-09,
Used by units in proved state: list-dup,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: in-rec, c-06, inapp-02, in-01, in-append, in-14, in-06, c, neq-02, a, Nil,
Used spec theorems:
- Used simplifier rules: