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Theorem count-del

⊦ count(a, bag -- b) = count(a, bag) - (a = b ∧ count(a, bag) ≠ 0 ⊃ 1;0)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: bag-rm-add-eq, del-notin, difference, exin, in-rem-notrem, still-in-rem, subset-plusminus,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas: del-rec, del-empty,
Used spec theorems:
- bag-basic/count-other
Used simplifier rules: