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Free Detect

Abstract

Free light-profinite generators detect morphisms and exactness. New proofs, released under the Apache 2.0 license.

Theorem 1.1 (hom eq zero of free).

Lean statement: D5/S3/HomologicalAlgebra/Solid/FreeDetect.hom_eq_zero_of_free

Proof. Machine-checked in Lean as D5/S3/HomologicalAlgebra/Solid/FreeDetect.hom_eq_zero_of_free (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact declaration is supplied by the compiled Lean source. Free light-profinite generators detect morphisms and exactness. New proofs, released under the Apache 2.0 license.

Theorem 1.2 (exact of free boundaries).

Lean statement: D5/S3/HomologicalAlgebra/Solid/FreeDetect.exact_of_free_boundaries

Proof. Machine-checked in Lean as D5/S3/HomologicalAlgebra/Solid/FreeDetect.exact_of_free_boundaries (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact declaration is supplied by the compiled Lean source. Free light-profinite generators detect morphisms and exactness. New proofs, released under the Apache 2.0 license.

References

  • Truth anchor: D5/S3/HomologicalAlgebra/Solid/FreeDetect.exact_of_free_boundaries
  • Truth anchor: D5/S3/HomologicalAlgebra/Solid/FreeDetect.hom_eq_zero_of_free
  • Dependency: D5/S3/HomologicalAlgebra/Solid/Reflection