proof app:A-long-proofs@proof-30

open in the book · appendices/A-long-proofs.tex:3008

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proof : app:A-long-proofs@proof-30prooflemma A.42: (ℝ, +) is an ordered abelian groupA.42definition A.41: AdditionA.41definition A.38: Order on ℝA.38lemma A.37: Elementary properties of cutsA.37lemma A.44: ℝ is an ordered fieldA.44

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typedirectionnode provenancewhere
proves $(\R, +)$ is an ordered abelian group declared appendices/A-long-proofs.tex:3008