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Theorem unrax

⊦ a ∈ s ∪ s0 ↔ ¬ ¬(a ∈ s ∨ a ∈ s0)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: diff-int-01, diff-subset, diff-union, diff-union-01, diff-union-02, diff-union-03, intu-empty, sub-union, sub-union-01, sub-union-02, sub-union-03, sub-union-04, sub-union-05, una, unadd-01, unall, unc, undel, undel-01, undel-04, undel-06, une-01, uneq, unin, unin-01, unindel, union-del, union-diff, union-difference, unsub, unsub-union-01, unsubdel, unsubins, unsubins-01, unsubsub,
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: Union,
Used spec theorems:
- Used simplifier rules: