OAI/Algebra/Finitistic/Localization/EvaluationFromAlgebra.lean
4 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.LittleFinitistic.QuadraticEncoding.Relations.Satisfiesline 12Source documentation
The displayed finite list of quadratic equations, in an arbitrary k-algebra.
def Relations.Satisfies (x : Fin d → R) : Prop := ∀ j, …
- def
OAI.LittleFinitistic.QuadraticEncoding.Representation.ofActionline 20Source documentation
Evaluate the quadratic presentation in any actual algebra action.
def ofAction (x : Fin d → R) (hx : P.Satisfies x) (ρ : R →ₐ[k] Module.End k Y) : Representation P Y where …Mentions: OAI.LittleFinitistic.QuadraticEncoding.Representation
- def
OAI.LittleFinitistic.QuadraticEncoding.Representation.ofModuleline 28Source documentation
In particular, every R-module supplies the required representation.
def ofModule (x : Fin d → R) (hx : P.Satisfies x) [Module R Y] [IsScalarTower k R Y] : Representation P Y := …Mentions: OAI.LittleFinitistic.QuadraticEncoding.Representation
- theorem
OAI.LittleFinitistic.QuadraticEncoding.Representation.ofModule_generatorline 32