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Lawvere Theories in Lean

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Lawvere theories provide a categorical approach to Universal Algebra, and their models have the benefit of being easily interpreted in any category with finite products. This talk will discuss a formalization of (multi-sorted) Lawvere theories in Lean4, as well as some work in progress toward relating them to the preexisting algebraic hierarchy.

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This talk is part of the Formalisation of mathematics with interactive theorem provers series.

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