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Theorem divides-sum

⊦ (∀ j. j ∈ ints → i | j) → i | Σ ints

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: int-mod,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas:
Used spec theorems:
- Used simplifier rules:
  - intlist/sum-empty
  - int-gcd/div-zero-01
  - list/intlista/in-17
  - list/intlista/in-append
  - list/intlista/a
  - intlist/sum-rec
  - list/intlista/c
  - int-basic2/add-c
  - int-basic2/add-a
  - int-gcd/divides-add