OAI/Algebra/Finitistic/Ordinary/OrdinaryFunctorExtension.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.LittleFinitistic.FunctorExtension.mappedSupport line 17

    Source documentation

    Mapping an extended complex retains its proved zero terms outside the embedded degrees.

    theorem mappedSupport : ((F.mapHomologicalComplex c').obj (K.extend e)).IsStrictlySupported e where
    …
  2. def OAI.LittleFinitistic.FunctorExtension.restrictionIso line 21

    Source documentation

    On the actual supported degrees, mapping and extension have the same original terms.

    def restrictionIso : ((F.mapHomologicalComplex c').obj (K.extend e)).restriction e ≅
        (F.mapHomologicalComplex c).obj K :=
    …
  3. def OAI.LittleFinitistic.FunctorExtension.iso line 33

    Source documentation

    An actual chain isomorphism commuting a zero-preserving functor with extension by zero.

    def iso : (F.mapHomologicalComplex c').obj (K.extend e) ≅
        ((F.mapHomologicalComplex c).obj K).extend e := by
    …