Titlebook: Exploring Formalisation; A Primer in Human-Re Clara L?h Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive lice

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Basic Examples,We first practice basic proof techniques in Lean using the example of injectivity and surjectivity of maps..We then start interacting with the Lean library mathlib. The mathlib provides a wide range of proof tactics and mathematical libraries to simplify the task of formalising and proving mathematical statements.

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Design Choices,Formalising mathematical concepts involves structures and properties and usually these components are intertwined. When modelling such concepts in a proof assistant one is faced with a number of design decisions.

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Textbook 2022e basic techniques of human-readable formalisation are introduced, illustrated by simple examples on maps, induction and real numbers. Subsequently, typical design options are discussed and brought to life through worked examples in the setting of simplicial complexes (a higher-dimensional generalis

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Textbook 2022d with formalising and checking their proofs. The core material of the book is accessible to mathematics students with basic programming skills. For the final chapter, familiarity with elementarycategory theory and algebraic topology is recommended..

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2199-4765 to mathematics students with basic programming skills. For the final chapter, familiarity with elementarycategory theory and algebraic topology is recommended..978-3-031-14648-0978-3-031-14649-7Series ISSN 2199-4765 Series E-ISSN 2199-4773

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