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: |
|---|---|---|
| sel-01 | ⊦ (a × d).2 = d | An Axiom |
| sel-02 | ⊦ (a × d).1 = a | An Axiom |
| inj | ⊦ a × d = a0 × d0 ↔ a = a0 ∧ d = d0 | An Axiom |
| case | ⊦ p.1 × p.2 = p | An Axiom |
| elim | ⊦ a = p.1 ∧ d = p.2 ↔ p = a × d | An Axiom |
| gen | pair freely generated by ×; | An Axiom |