Real Analysis Theorems & Definitions: Notes for Applying the Moore Method

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The discussion centers on the search for a resource that provides a logically sequenced collection of theorems and definitions in real analysis, suitable for applying the Moore Method, which emphasizes student-led proof construction. The initial suggestion of a link was deemed insufficient as it did not meet the specific requirement for a structured progression starting from foundational concepts like the Peano postulates and advancing through topics such as the construction of real numbers, sequences, limits, and derivatives. The goal is to find a comprehensive guide that facilitates self-driven learning through proof development.
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Can anyone recommend notes or a book that contains only the theorems and definitions of real analysis in a logical sequence to which the Moore Method could be applied?

Thank You.
 
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Thanks, but that's really not what I'm looking for. What I'm looking for is a logical sequence of definitions and theorems that begins with, say, the Peano postulates, works its way through the construction of real numbers and lists theorems on sequences, limits, derivatives, etc. The idea of this would be for the student (me) to supply the proofs (insofar as that is possible).
 
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