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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: simp, localsimp,
Comment:
Used by: eq-inc-neq, even, even-02, even-06, l-02, one, one-02, oz, pe-01, pred, ps, two-02,
Used by units in proved state: list-last, list-del, string-less, stream, list, nat-pair, nat-div, string-less-new, stut-mon, path-reachable, nat-prime, nat-pot, nat-inf, nat-even, mon-lim-filter-count, list-perm, list-data, intnat, bag-union, store, set-basic, nat-mult, nat, nat-sgn, bag-basic, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: add-rec, add-base,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/disj-1