definition A.43 Multiplication

open in the book · appendices/A-long-proofs.tex:3035 · p. 2811

Rests on

  • depends_on definition A.41 Addition
    • depends_on definition A.36 Cut
  • depends_on definition A.36 Cut

Supports

Neighborhood

Every logical edge within two steps of this node.

definition A.43: MultiplicationA.43definition A.41: AdditionA.41definition A.36: CutA.36lemma A.44: ℝ is an ordered fieldA.44lemma A.42: (ℝ, +) is an ordered abelian groupA.42corollary A.45: Archimedean property and density of ℚA.45definition A.38: Order on ℝA.38lemma A.37: Elementary properties of cutsA.37theorem A.40: Least-upper-bound propertyA.40definition 4.32: Field4.32proof : app:A-long-proofs@proof-31proof

Edges

typedirectionnode provenancewhere
depends_on Addition declared appendices/A-long-proofs.tex:3046
depends_on Cut declared appendices/A-long-proofs.tex:3046
depends_on $\R$ is an ordered field declared appendices/A-long-proofs.tex:3053