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Theorem ne-02

⊦ a ∈ s → (s = ∅ ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: alle, del, eq-02, indef, one, sel, size-exgr, size-less-01, size-one, size-one-02, size-three, size-three-01, size-three-02, size-two, size-two-03, size-two-04, size-two-06, sizesubl, sub-add-03, sub-add-04, sub-in, sub-insert, sub-one-01, sub-size, sub-size-eq, sub-trans, subset-equal, subset-insert, subset-insert-01, subset-insert-02, subsize-eq, two-01,
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: ne-01,
Used spec theorems:
- Used simplifier rules: