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Theorem diff-union

⊦ (x ∪ y) \ z = (x \ z) ∪ (y \ z)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 15
Proof steps: 36
Used lemmas: union, app, diff-in, diff-y, diff-n, diff-e, assoc, empty-01,
Used spec theorems:
- list-dup/rm-ifrec
- list-dup/rmdup-n
Used simplifier rules: