Documentation

Tactics

The tactic language is a special-purpose programming language for constructing proofs, indicated using the keyword by.

knownin1980s

knownin1980s is a term which provides a proof of an arbitrary proposition. In this current phase of the FLT project, knownin1980s will be allowed as a proof of any theorem which would have been easy for an expert to deduce from the pre-1990 literature. This stretches from standard easy statements about things like elliptic curves to much deeper results which are relatively short derivations from deep results published pre-1990 such as Taylor's theorem attaching Galois representations to Hilbert modular forms, Langlands' work on cyclic base change and so on.

An invocation of knownin1980s should always be accompanied by comments which indicate how one might prove this theorem using only results which were in the mathematical literature before 1990. Note that it does not have to be a precise reference to the literature; an argument which is not explicitly in the literature but which is relatively short and uses only techniques known in the 1980s is fine.

Tags:
Defined in module:
FLT.Assumptions.KnownIn1980s