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