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Theorem z-01

⊦ m + n = 0 ↔ m = 0 ∧ n = 0

Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by: eq-inc-neq, even, even-02, even-06, one-03, one-05, oz, pred, twols,
Used by units in proved state: list-del, list-as-arrayinstance, rowcol-upd, filter-count, list, stut-mon, nat-div, nat-mult, stream, nat, nat-prime, list-perm, list-data, bag-union, nat-inf, path-reachable, intnat, infinite-append, nat-sgn, nat-pair, nat-even, list-last,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: disj-zero-succ, add-rec, add-base, gen, a,
Used spec theorems:
- Used simplifier rules: