Mathlib Map

Theorems · Definition · category theory

ComplexShape.Embedding.r

{ι : Type u_1} → {ι' : Type u_2} → {c : ComplexShape ι} → {c' : ComplexShape ι'} → c.Embedding c' → ι' → Option ι

The map ι' → Option ι which sends e.f i to some i and the other elements to none.

Defined in
Mathlib.Algebra.Homology.Embedding.Basic
Cited by
10 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HomologicalComplex.extend · cited by 115HomologicalComplex.extendHomologicalComplex.extendMap · cited by 27HomologicalComplex.extend…HomologicalComplex.extendMap_f · cited by 11HomologicalComplex.extend…ComplexShape.Embedding.r_eq_some · cited by 4Embedding.r_eq_someHomotopy.extend.hom · cited by 3extend.homComplexShape.Embedding.r_eq_none · cited by 3Embedding.r_eq_noneComplexShape.Embedding.f_eq_of_r_eq_some · cited by 2Embedding.f_eq_of_r_eq_so…HomologicalComplex.extendOpIso · cited by 2HomologicalComplex.extend…HomologicalComplex.extend_d_from_eq_zero · cited by 2HomologicalComplex.extend…HomologicalComplex.extend_d_to_eq_zero · cited by 2HomologicalComplex.extend…HomologicalComplex.isZero_extend_X' · cited by 1HomologicalComplex.isZero…Homotopy.extend.hom_eq · cited by 1extend.hom_eqHomologicalComplex.extendMap_f_eq_zero · cited by 1HomologicalComplex.extend…ComplexShape.Embedding.r_f · cited by 1Embedding.r_fComplexShape · cited by 1684ComplexShapeComplexShape.Embedding · cited by 337ComplexShape.EmbeddingComplexShape.Embedding.f · cited by 251Embedding.fEmbedding.rCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by14

Results whose statement or proof uses this declaration.