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Theorem intersect-add-rem

⊦ (s0 ++ a) ∩ (s1 -- a) = (s0 ∩ s1) -- a

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 1
Used lemmas: Intersect, Delete, int-c, int-a, del-rax, int-rax,
Used spec theorems:
- set-basic/Extension
Used simplifier rules:
- set-basic/rax
- set-basic/in-02