Theorems · Theorem · category theory
ComplexShape.Embedding.f_eq_of_r_eq_some
∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} (e : c.Embedding c') {i : ι} {i' : ι'},
e.r i' = some i → e.f i = i'- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Embeddingstatement and proof · cited by 337
- ComplexShape.Embedding.fstatement and proof · cited by 251
- ComplexShape.Embedding.rstatement and proof · cited by 10
- ComplexShape.Embedding.r_eq_noneproof · cited by 3
- ComplexShape.Embedding.r_fproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- HomologicalComplex.extend_d_from_eq_zeroproof · cited by 2
- HomologicalComplex.extend_d_to_eq_zeroproof · cited by 2