package coq-mathcomp-algebra-tactics

This library provides ring, field, lra, nra, and psatz tactics for the Mathematical Components library. These tactics use the algebraic structures defined in the MathComp library and their canonical instances for the instance resolution, and do not require any special instance declaration, like the Add Ring and Add Field commands. Therefore, each of these tactics works with any instance of the respective structure, including concrete instances declared through Hierarchy Builder, abstract instances, and mixed concrete and abstract instances, e.g., int * R where R is an abstract commutative ring. Another key feature of Algebra Tactics is that they automatically push down ring morphisms and additive functions to leaves of ring/field expressions before applying the proof procedures.