Jan 7, 2021 · We tell the story of how schemes were formalised in three different ways in the Lean theorem prover.

Nov 25, 2021 · We tell the story of how schemes were formalized in three different ways in the Lean theorem prover.

Jun 19, 2019 · A scheme is a topological space that can be covered by affine schemes, i.e. a space where we can locally do algebra. Modern algebraic geometry ...

We talk about the issues which arose when formalising Grothendieck's notion of a scheme, and the construction of affine schemes, in the Lean theorem prover.

We tell the story of how schemes were formalized in three different ways in the Lean theorem prover. KEYWORDS. Scheme, lean, formal proof. 1. Introduction and ...

We tell the story of how schemes were formalised in three different ways in the Lean theorem prover.

Nov 25, 2021 · PDF | We tell the story of how schemes were formalized in three different ways in the Lean theorem prover. | Find, read and cite all the ...

A scheme is defined in scheme.lean and two examples (the empty scheme and affine schemes) are provided in instances.

An inductive type is built up from a specified list of constructors. In Lean, the syntax for specifying such a type is as follows:

Apr 11, 2019 · mathematics undergraduates defined the notion of a scheme in Lean. • Lean is an ITP, it uses dependent types and the calculus of inductive ...