Abstract
This paper describes a computer system that can be used for informal axiomatic investigation of mathematics. A formal mathematics-like language is defined which enables a mathematician to write informal mathematical statements and proofs. Each step of a proof is checked for logical validity, and a user may develop and retain a system of axioms, theorems, dependencies, and proofs written in this language. The intended user initially is a college mathematics student, who would use this system to develop proof-writing skills. Some examples of proofs are given.
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