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Theorem uninsert

⊦ a ∈ s → (s ∪ s0) ++ a = s ∪ s0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: k-union-rec1, rem-union-ins, subset-is-union, union-size-03, union-size-le,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: unc, una, unin-01,
Used spec theorems:
- Used simplifier rules:
  - set-basic/eq-03