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Theorem base for Specification int-inf

This is a listing of all goals defined over the current specification. Axioms are marked yellow, proved theorems green and unproved theorems blue. Click on individual names to get more information on the proof.

Name:	Sequent:	Type:
trans	⊦ i∞ < i∞0 ∧ i∞0 < i∞1 → i∞ < i∞1	A User Theorem
not-inf-less	⊦ ¬ ∞ < i∞	An Axiom
irreflex	⊦ ¬ i∞ < i∞	A User Theorem
less-int	⊦ ⌜i⌝ < ⌜i0⌝ ↔ i < i0	An Axiom
neginf-less	⊦ -∞ < i∞ ↔ i∞ ≠ -∞	An Axiom
less-reflex	⊦ i∞ < ⌜i∞.i⌝ → i∞ = ∞ ∨ i∞ = -∞	A User Theorem
antisym	⊦ ¬ i∞ < i∞0 → (i∞0 < i∞ ↔ i∞ ≠ i∞0)	A User Theorem
less-reflex-rev	⊦ ⌜i∞.i⌝ < i∞ → i∞ = ∞ ∨ i∞ = -∞	A User Theorem
not-less-neginf	⊦ ¬ i∞ < -∞	An Axiom
less-inf	⊦ i∞ < ∞ ↔ i∞ ≠ ∞	An Axiom