Theorems · Definition · category theory
ComplexShape.Embedding.op
{ι : Type u_1} →
{ι' : Type u_2} → {c : ComplexShape ι} → {c' : ComplexShape ι'} → c.Embedding c' → c.symm.Embedding c'.symmThe opposite embedding in Embedding c.symm c'.symm of e : Embedding c c'.
- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ComplexShapestatement and proof · cited by 1,684
- ComplexShape.Relproof · cited by 518
- ComplexShape.Embeddingstatement and proof · cited by 337
- ComplexShape.Embedding.fproof · cited by 251
- ComplexShape.symmstatement and proof · cited by 83
- ComplexShape.Embedding.injective_fproof · cited by 5
- ComplexShape.Embedding.relproof · cited by 5
Cited by37
Results whose statement or proof uses this declaration.
- HomologicalComplex.truncLEproof · cited by 19
- HomologicalComplex.truncLE'proof · cited by 15
- HomologicalComplex.ιTruncLEproof · cited by 10
- HomologicalComplex.truncLE'Mapproof · cited by 8
- HomologicalComplex.truncLEMapproof · cited by 7
- HomologicalComplex.truncLE'ToRestrictionproof · cited by 5
- HomologicalComplex.truncLE'XIsoproof · cited by 4
- HomologicalComplex.truncLE'XIsoCyclesproof · cited by 2
- HomologicalComplex.acyclic_truncLE_iff_isSupportedOutsideproof · cited by 2
- HomologicalComplex.ιTruncLE_naturalityproof · cited by 2
- HomologicalComplex.extendOpIsostatement and proof · cited by 2
- HomologicalComplex.isSupportedOutside_op_iffstatement and proof · cited by 1