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: |
|---|---|---|
| choice | ok(a), ∀ b. ok(b) → (∃ c. rel(b, c) ∧ ok(c)) ⊦ ∃ nf. nf(0) = a ∧ (∀ n. ok(nf(n)) ∧ rel(nf(n), nf(n + 1))) | A User Theorem |
| choice-aux | ok(a), ∀ b. ok(b) → rel(b, elemf(b)) ∧ ok(elemf(b)) ⊦ ∀ n. ∃ nf. nf(0) = a ∧ ok(nf(n)) ∧ (∀ m. m < n → ok(nf(m)) ∧ nf(m + 1) = elemf(nf(m))) | A User Theorem |