.. _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:: C02_Basics/S01_Calculating.inc .. include:: C02_Basics/S02_Proving_Identities_in_Algebraic_Structures.inc .. include:: C02_Basics/S03_Using_Theorems_and_Lemmas.inc .. include:: C02_Basics/S04_More_on_Order_and_Divisibility.inc .. include:: C02_Basics/S05_Proving_Facts_about_Algebraic_Structures.inc