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The relationship between theorems and lemmas in mathematical reasoning is often vague. No system exists that formalizes the structure of theorems in a mathematical library. Nevertheless, the decisions we make in creating lemmas provide an inherent hierarchical structure to the statements we prove. In this paper, we develop a formal system that organizes(More)
Tactics and tacticals, programs that represent and execute several steps of deduction, are fundamental to theorem provers providing automated tools for creating proofs quickly and easily. The language used for tactics is usually a full-scale programming language, separate from the language used to represent proofs. Consequently, there is also a separation(More)
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