CategoryTheory.ShortComplex.ShortExact.ab_finite_iff

∀ {S : CategoryTheory.ShortComplex Ab}, S.ShortExact → (Finite ↑S.X₂ ↔ Finite ↑S.X₁ ∧ Finite ↑S.X₃)

In a short exact sequence of abelian groups, the middle group is finite iff the first and last are.

Defined in: Mathlib.Algebra.Homology.ShortComplex.Ab
Cited by: 0 results in Mathlib
Foundations: Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound

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