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Theorem sum-app

⊦ Σ(ints + ints0) = Σ ints + Σ ints0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: sum-constant-countFun, sum-countFun-sub, sum-countfun-not-ls, sum-equal, sum-in-not-ls, sum-not-ls-zero, sum-rec-01,
Used by units in proved state: int-mod, int-fac,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: sum-rec, sum-empty,
Used spec theorems:
- Used simplifier rules:
  - list/intlista/Nil
  - int-basic2/add-zero
  - int-basic2/add-c
  - int-basic2/add-in
  - int-basic2/add-a
  - list/intlista/a
  - list/intlista/c