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Theorem union-inter-inter-union

⊦ (s0 ∪ s1) ∩ s2 = (s0 ∩ s2) ∪ (s1 ∩ s2)

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: 2
Proof steps: 3
Used lemmas: Intersect, int-c, int-a, unc, una, unrax, int-rax,
Used spec theorems:
- set-basic/Extension
Used simplifier rules: