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Separate project from mathib4

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ec-tate-lean's Introduction

Implementation of Tate's algorithm for elliptic curves in mathlib4:

Some personal ports of Group/Int/Nat/Ring lemmas
A definition of extended natural numbers 'ENat.lean'
An environment for the models and quantities associated to elliptic curves 'Model.lean'
An extension of commutative rings with a normalized valuation 'ValuedRing.lean'
An implementation of Tate's algorithm over the integers 'TateInt.lean'
An implementation of Tate's algorithm over the rings 'TateRing.lean'
Tests to compare our output with LMFDB's data 'test/Test.lean'
An implementation of the Kronecker symbol for integers 'Kronecker.lean'

so that we can use proofs about singularity vs discriminant when discussion local singular points

by working in the residue field and finish the proofs that discriminant equal zero implies double / triple roots

so we can do LMFDB test cases

by using parsers instead of splitting

by copying accross changes from TateInt

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