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Theorem ocappend

⊦ #oc(a, x + y) = #oc(a, x) + #oc(a, y)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: ad, app, app-01, app-02, app-03, c, del1, del1-01, delapp, in-05, in-put, notin, oc-del-01, oc-diff-01, oc-dups, oc-filt, ocnodups, ocs-del-del1, ocs-del-length, ocs-del1, ocs-dups-ex, ocs-mklist, ocs-not-more, ocs-put, ocs-put-01, ocs-put-02, ocs-same-length-mklist, perm-dups, rest, shift-02, subapp-02, subapp-03, subdel-01, subrec, subrec-01, subsize,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 7
Used lemmas: oc-n, oc-y, oc-e,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - nat-basic2/add-base
  - list/c
  - nat-basic2/c
  - nat-basic2/eq-01
  - nat-basic2/a
  - list/a