Exploring Lean Summer Lectures 1 18

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  • How would you like to, not just find and correct bugs in your code, but write code that's provably free of bugs? How can rigorous ...
  • I assume the theory of vector spaces and begin to develop a theory of subspaces. Having defined a partial order and inf structure ...
  • We see proofs of implication and negation. We also see the elimination rules for connectives. Using these, we prove various ...
  • I work through the first few of Scott Morrison's LFTCM Category theory exercises.
  • I prove the standard formula for the Fibonacci sequence (the one involving sqrt(5)). Along the way I make a couple of numerical ...

In-Depth Information on Lean Summer Lectures 1 18

I briefly explain the point of the I define topological spaces, open and closed sets, continuous functions, compact spaces, and Hausdorff spaces. I define a partition of a type (you can think "set" when I say "type" here), and show how to prove in I define the concept of a real number being a limit of a sequence of real numbers, and develop a basic interface. Tactic used: intro ...

Mathlib needs documenting, and this video shows how easy it is to do.

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