File:Inductive proofs of properties of add, mult from recursive definitions (svg exercise version).svg

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Summary

Description
English: Shows recursive definitions of addition (+) and multiplication (*) on natural numbers and inductive proofs of commutativity, associativity, distributivity by Peano induction; some of the later ones are omitted as exercises. Also indicates which property is used in the proof of which other one.
Date
Source svg version of File:Inductive proofs of properties of add, mult from recursive definitions (exercise version).pdf
Author Ultimately adapted from an original by user:Jochen_Burghardt, adaptation by me.

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Captions

Diagram of the relations between the main properties of addition and multiplication (exercise version)

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6 February 2022

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current22:03, 6 February 2022Thumbnail for version as of 22:03, 6 February 20221,719 × 1,949 (258 KB)Felix QWUploaded a work by Ultimately adapted from an original by user:Jochen_Burghardt, adaptation by me. from svg version of File:Inductive proofs of properties of add, mult from recursive definitions (exercise version).pdf with UploadWizard

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