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Theorem int-a

⊦ (s ∩ s0) ∩ s1 = s ∩ s0 ∩ s1

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-inter-rem, diff-int, diff-int-01, empty-intersection-diff, int-c, int-del-rew, int-e, int-empty, int-empty-01, int-empty-02, int-empty-one, int-eq, int-idem, int-ins, int-inse, int-inserte, int-notempty, int-notempty-01, int-subs01, intdel-empty, intersect-add-rem, intersect-empty-rem, intersection-insert, intersection-shift, intersection-size, intexin, intu-empty, k-intersect-base, k-intersect-rec1, k-intersect-rec2, rem-inter-empty3, size-union, subset-is-union, subseteq-inter-empty-empty, union-inter-inter-union, union-size-03, union-size-ls-in,
Used by units in proved state: oset, store+set,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: int-rax,
Used spec theorems:
- Used simplifier rules:
  - set-basic/Extension