---------------------------------------------------------------------- new_axiom (Theory) ---------------------------------------------------------------------- new_axiom : string * term -> thm SYNOPSIS Install a new axiom in the current theory. DESCRIBE If {M} is a term of type {bool}, a call {new_axiom(name,M)} creates a theorem |- tm and stores it away in the current theory segment under {name}. FAILURE Fails if the given term does not have type {bool}. EXAMPLE - new_axiom("untrue", Term `!x. x = 1`); > val it = |- !x. x = 1 : thm COMMENTS For most purposes, it is unnecessary to declare new axioms: all of classical mathematics can be derived by definitional extension alone. Proceeding by definition is not only more elegant, but also guarantees the consistency of the deductions made. However, there are certain entities which cannot be modelled in simple type theory without further axioms, such as higher transfinite ordinals. SEEALSO Thm.mk_thm, Definition.new_definition, Definition.new_specification. ----------------------------------------------------------------------