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Theorem base for Specification order

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:
transitive	⊦ transitive(R) ↔ (∀ a, b, c. R(a, b) ∧ R(b, c) → R(a, c))	An Axiom
total	⊦ total(R) ↔ (∀ a, b. R(a, b) ∨ R(b, a) ∨ a = b)	An Axiom
reflexive	⊦ reflexive(R) ↔ (∀ a. R(a, a))	An Axiom
total-2nle	⊦ total(R) ∧ ¬ R(a, b) ∧ ¬ R(b, a) → a = b	A User Theorem