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Theorem inapp-05

⊦ a ≠ a0 ∧ ¬ a0 ∈ x ∧ ¬ a0 ∈ x0 → (a ' + x + a0 ' + y = x0 + a0 ' + y0 ↔ a ' + x = x0 ∧ y = y0)

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

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: c, inapp-03, in-rec, c-06, Nil, a,
Used spec theorems:
- Used simplifier rules: