Projective Single Hom

Abstract

This module supplies the indicated step in the unbounded solidification construction.

Theorem 1.1 (derived Single Homology Map bijective).

Lean statement: D5/S3/HomologicalAlgebra/Solid/ProjectiveSingleHom.derivedSingleHomologyMap_bijective

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

Source. Repository-derived.

Commentary.

Every target in the unbounded derived category is allowed. No replacement hypothesis.

Theorem 1.2 (projective Single Hom Equiv naturality).

Lean statement: D5/S3/HomologicalAlgebra/Solid/ProjectiveSingleHom.projectiveSingleHomEquiv_naturality

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

Source. Repository-derived.

Commentary.

The exact declaration is supplied by the compiled Lean source. This module supplies the indicated step in the unbounded solidification construction.

Truth anchor: D5/S3/HomologicalAlgebra/Solid/ProjectiveSingleHom.derivedSingleHomologyMap_bijective
Truth anchor: D5/S3/HomologicalAlgebra/Solid/ProjectiveSingleHom.projectiveSingleHomEquiv_naturality