How to prove equations using diagrams, part 1
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A mathematical blog post explaining e-graphs (equality graphs) and how equations can be represented and manipulated as commutative diagrams in category theory. It introduces basic diagram notions, motivates why functors (especially initial functors) matter for preserving solutions when transforming diagrams, and sets up further categorical semantics for e-graphs.
- Learn how diagrams represent equations between morphisms
- Understand pulling back/extending diagrams via functors
- Identify initial functors that preserve solutions
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