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