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Addition of natural numbers/Proofs

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  1. Mathematical proofs for addition of the natural numbers: additive identity, commutativity, and associativity

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
  2. We prove commutativity by applying induction on the natural number b

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
  3. These proofs are used in the article Addition of natural numbers

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
  4. This article will use the definitions in addition of natural numbers, particularly and [A2: a + 0 = a a + S(b) = S(a + b) [A2 It is useful to define another natural number closely related to the successor function, namely "1"

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
  5. We prove associativity by first fixing natural numbers a and b and applying induction on the natural number c

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 11, 2009
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