[Imprint][Data Privacy Statement][E-Mail]

Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Theorem base for Specification int-inf

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:
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