Naturality of the target boundary maps #
The quotient maps from page one to later target pages commute with every filtered operator.
theorem
AlgebraicAnalysis.FilteredTwoTermPages.FilteredTwoTerm.PageOperator.targetBoundaryMap_naturality
{k : Type u}
[Ring k]
{M : Type v}
[AddCommGroup M]
[Module k M]
{K : FilteredTwoTerm k M}
{d : ℤ}
(P : K.PageOperator d)
(r : ℕ)
(p : ℤ)
:
theorem
AlgebraicAnalysis.FilteredTwoTermPages.FilteredTwoTerm.PageOperator.totalBoundaryMap_naturality
{k : Type u}
[Ring k]
{M : Type v}
[AddCommGroup M]
[Module k M]
{K : FilteredTwoTerm k M}
{d : ℤ}
(P : K.PageOperator d)
(r : ℕ)
: