Theorems · Definition · category theory
ComplexShape.embeddingUpIntGE
ℤ → (ComplexShape.up ℕ).Embedding (ComplexShape.up ℤ)
The embedding from up ℕ to up ℤ which sends n : ℕ to p + n.
- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ComplexShape.upstatement and proof · cited by 1,123
- ComplexShape.Embeddingstatement · cited by 337
- ComplexShape.Embedding.mk'proof · cited by 1
Cited by29
Results whose statement or proof uses this declaration.
- CochainComplex.IsStrictlyGEproof · cited by 34
- CochainComplex.truncGEproof · cited by 16
- CochainComplex.IsGEproof · cited by 13
- CochainComplex.isZero_of_isStrictlyGEproof · cited by 13
- CochainComplex.πTruncGEproof · cited by 12
- CochainComplex.isStrictlyGE_iffproof · cited by 6
- CochainComplex.exactAt_of_isGEproof · cited by 5
- CochainComplex.truncGEMapproof · cited by 5
- CochainComplex.ConnectData.restrictionGEIsostatement and proof · cited by 3
- ComplexShape.Embedding.embeddingUpInt_areComplementarystatement · cited by 3
- CochainComplex.πTruncGE_naturalityproof · cited by 3
- CochainComplex.isGE_iffproof · cited by 3