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Theorem sum-add

⊦ Σ(ns, f1) + Σ(ns, f2) = Σ(ns, λ n. f1(n) + f2(n))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: distrmxmx-l, distrmxmx-r, distrmxmxvec, distrmxvecvec, distrvecmxmx, distrvevecmx, sum-switch,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: sum-rec, sum-base,
Used spec theorems:
- set-basic/natset/eq
Used simplifier rules:
- ring/addzero-r
- ring/addassoc
- ring/addcom
- set-basic/natset/size-zero-01
- set-basic/natset/ne-01