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Theorem inapp-06

⊦ ¬ b ∈ y ∧ ¬ a ∈ z → (x + a ' + y = x0 + b ' + z ↔ x = x0 ∧ a = b ∧ y = z)

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: 3
Proof steps: 6
Used lemmas: c-06, neq, inapp-02, in-rec, c, app-08, isin, neq-02, in-10, in-append, in-14, Nil, a,
Used spec theorems:
- Used simplifier rules: