This is a listing of all goals defined over the current specification. Axioms are yellow, proof obligations purple and theorems green. Click on individual names to get more information on the proof.
| Name: | Sequent: | Type: |
|---|---|---|
| Extension | ⊦ sng1 = sng2 ↔ (∀ a. a ∈ sng1 ↔ a ∈ sng2) | An Axiom |
| In-empty | ⊦ ¬ a ∈ ∅ | An Axiom |
| In-insert | ⊦ a ∈ sng ++ b ↔ a = b ∨ a ∈ sng | An Axiom |
| Subset | ⊦ sng1 ⊆ sng2 ↔ (∀ a. a ∈ sng1 → a ∈ sng2) | An Axiom |