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Theorem c-06

⊦ a ' + x = b ' + y ↔ a = b ∧ x = y

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: app-06, append-size-less, c-02, eq-01, eq-05, first-02, first-app, firsteq, firsteq-01, in-append0-not-left, in-rec, inapp-02, inapp-03, inapp-05, inapp-06, inapp-07, inapp-08, inex-01, isin, isin-01, len-01, len-03, len-04, neq-01, neq-02, neq-06, neq-07,
Used by units in proved state: list-last, list-del, stream, path-reachable, olist-min-max, olist, list-perm, list-dup,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: Nil, Cons, One,
Used spec theorems:
- Used simplifier rules:
  - list-data/inj-1