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Theorem oc-zero

⊦ #oc(a, x) = 0 ↔ ¬ a ∈ x

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, del-02, del-04, delapp, diff, filter, in-put, oc-del, oc-del-01, oc-del-02, oc-diff, oc-dups, oc-filt-01, ocs-del, ocs-del-del1, ocs-del1, ocs-dups-ex, ocs-not-more, ocs-put-02, ocs-sw, perm-all, perm-del-01, perm-put-del1, size-perm, sub-del-any, subapp-02, subapp-03, subdel, subdel-01, subrec, trans,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: notin, in-05,
Used spec theorems:
- Used simplifier rules: