.. _basics: Basics ====== This chapter is designed to introduce you to the nuts and bolts of mathematical reasoning in Lean: calculating, applying lemmas and theorems, and reasoning about generic structures. .. include:: 02_Basics/01_Calculating.inc .. include:: 02_Basics/02_Proving_Identities_in_Algebraic_Structures.inc .. include:: 02_Basics/03_Using_Theorems_and_Lemmas.inc .. include:: 02_Basics/04_More_on_Order_and_Divisibility.inc .. include:: 02_Basics/05_Proving_Facts_about_Algebraic_Structures.inc