faenuccio / may22_vilnius

Formalising Mathematics

Repository for the May 2022 course on formalising mathematics at Vilnius University, wrapped around Kevin Buzzard's Jan-Mar 2021 EPSRC TCC course delivered to mathematicians at Imperial, Oxford, Bristol, Bath and Warwick (United Kingdom).

Prerequisites

You should know some mathematics and you should not be afraid by basic logic statements, like and/or, contrapositive or arguments by contradiction. No knowledge of advanced topics (like topology, multivariable analysis or commutative algebra) is required.

The Course

The Course was made of three lectures, the first devoted to basic logic statements, the second to the introduction of functions and of lambda-calculus, the third to basic calculus (limits and inequalities in the reals).

Part A: Logic

Part B: Functions

Part C: Limits

The exercises

For each exercise session, click on the corresponding link below. You might have to wait for a minute or so until "Lean is busy..." becomes "Lean is ready!". Then, you can type exactly as I did in class. The only difference is that, instead of the nice "goals accomplished 🎉 " you will see a more modest "no goals".

Part A: Logic

Part B: Functions

Part C: Limits