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Theorem sum-zero-fin

⊦ ⌜n⌝ + n∞ = ⌜0⌝ ↔ n∞ = ⌜0⌝ ∧ n = 0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 8
Used lemmas: eq-natinf-to-nat-2-1, add-inf2, add-fin, add-all-zero, add-comm, add-assoc, num-add,
Used spec theorems:
- Used simplifier rules: