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Theorem neq-07

⊦ a ≠ a0 ∧ a1 ≠ a0 ∧ a ≠ a1 ∧ ¬ a ∈ y1 ∧ ¬ a1 ∈ y0 → y1 + a0 ' + y0 + a ' ≠ y2 + a ' + a1 ' + z0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: c-06, inapp-02, in-01, in-14, in-06, c, neq-02, Nil, in-17, e-02, app-06, app, lastdiv, in-rec, in-append, in-15, a, in-16,
Used spec theorems:
- Used simplifier rules: