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Theorem union-diff-distr

bag1 ⊆ bag0 ⊦ (bag0 \ bag1) ∪ bag2 = (bag0 ∪ bag2) \ bag1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas: count-subset, difference, union-com, union-ass, count-diff-subset, union,
Used spec theorems:
- Used simplifier rules: