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Theorem sum-multl

⊦ a * Σ(ns, f) = Σ(ns, λ n. a * f(n))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: sum-rec, sum-base,
Used spec theorems:
- set-basic/natset/eq
- ring/distr-r
Used simplifier rules:
- ring/multzero-r
- ring/multassoc
- set-basic/natset/size-zero-01
- set-basic/natset/ne-01