OAI/Algebra/Finitistic/Ordinary/OrdinaryFunctorExtension.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.LittleFinitistic.FunctorExtension.mappedSupportline 17Source 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 …
- def
OAI.LittleFinitistic.FunctorExtension.restrictionIsoline 21Source 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 := … - def
OAI.LittleFinitistic.FunctorExtension.isoline 33Source 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 …