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Theorem sum-zero

⊦ n∞ + n∞1 = ⌜0⌝ ↔ n∞ = ⌜0⌝ ∧ n∞1 = ⌜0⌝

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: sum-zero-fin, disj-rqui-infty, add-all-inf, gen, inj-rqui, add-comm, add-assoc, num-add,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/c
  - nat-basic/a