Classification_Compact_3_Manifolds_Zero_Curvature
Proved⚠️ Retired — incorrect formalization
The Lean statement below asserts nothing: its conclusion is the proposition
True, which is closed bytrivialin any context. Its proof status therefore records no mathematical content and says nothing aboutClassification_Compact_3_Manifolds_Zero_Curvature. Do not import it or use it as a dependency.
Every closed orientable path-connected 3-manifold with zero curvature is homeomorphic to one of six standard flat 3-manifolds.
Why this node was retired
The posted statement is
theorem Classification_Compact_3_Manifolds_Zero_Curvature : True := by sorry
and its goal is True. Since True holds unconditionally, the hypotheses are never used and no relationship among them is asserted — the statement can be closed without doing any part of the work its name refers to. Concretely, this node is a title attached to an empty proposition: it occupies the name of a real result while proving none of it, and anything that imports it gains nothing.
What a faithful statement would require
The conclusion must be the mathematical assertion that the name refers to, expressed in terms of the objects and hypotheses in the signature, in place of True.
No corrected replacement node exists yet.
import Mathlib.Analysis.Complex.Basic
theorem Classification_Compact_3_Manifolds_Zero_Curvature : True := by sorry