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Theorems · Definition · category theory

ComplexShape.embeddingUpNat

(ComplexShape.up ℕ).Embedding (ComplexShape.up ℤ)

The obvious embedding from up ℕ to up ℤ.

Defined in
Mathlib.Algebra.Homology.Embedding.Basic
Cited by
5 results in Mathlib
Foundations
Depth 52 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.

CategoryTheory.InjectiveResolution.cochainComplex · cited by 30InjectiveResolution.cocha…CategoryTheory.InjectiveResolution.cochainComplexXIso · cited by 18InjectiveResolution.cocha…CategoryTheory.InjectiveResolution.ι' · cited by 9InjectiveResolution.ι'CategoryTheory.InjectiveResolution.cochainComplex_d · cited by 8InjectiveResolution.cocha…CategoryTheory.InjectiveResolution.Hom.hom' · cited by 5Hom.hom'CategoryTheory.InjectiveResolution.Hom.hom'_f · cited by 3Hom.hom'_fCategoryTheory.InjectiveResolution.ι'_f_zero · cited by 2InjectiveResolution.ι'_f_…ComplexShape.embeddingUpNat_f · cited by 1ComplexShape.embeddingUpN…CochainComplex.quasiIso_iff_of_injective · cited by 0CochainComplex.quasiIso_i…ComplexShape.up · cited by 1123ComplexShape.upComplexShape.Embedding · cited by 337ComplexShape.EmbeddingComplexShape.Embedding.mk' · cited by 1Embedding.mk'ComplexShape.embeddingUpNatCITED BYCITES

Cites3

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

Cited by9

Results whose statement or proof uses this declaration.