OAI/Algebra/Finitistic/Bar/DirectSumExactness.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

1. theorem OAI.DerivedBar.directSumComplex_d line 13
2. theorem OAI.DerivedBar.directSumComplex_exactAt line 33

   Source documentation

   The original componentwise direct sum is exact at a degree whenever every summand is exact there. This includes the degree-zero boundary.

   theorem directSumComplex_exactAt (n : ℕ) (h : ∀ r, (S r).ExactAt n) :
       (directSumComplex S).ExactAt n := by
   …

   Mentions: OAI.DerivedBar.directSumComplex

3. theorem OAI.DerivedBar.directSumComplex_homology_zero line 43