Theorems · Theorem · category theory
ComplexShape.Embedding.next_f
∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} (e : c.Embedding c') [e.IsTruncGE]
{j k : ι}, c.next j = k → c'.next (e.f j) = e.f k- Cited by
- 3 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.nextstatement and proof · cited by 297
- ComplexShape.Embedding.fstatement and proof · cited by 251
- ComplexShape.Embedding.IsTruncGEstatement and proof · cited by 56
- ComplexShape.next_eq'proof · cited by 48
- ComplexShape.Embedding.rel_iffproof · cited by 5
- ComplexShape.next_eq_selfproof · cited by 3
- ComplexShape.Embedding.mem_nextproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- HomologicalComplex.quasiIsoAt_πTruncGEproof · cited by 2
- HomologicalComplex.truncGE'.hasHomology_sc'_of_not_mem_boundaryproof · cited by 1
- ComplexShape.Embedding.prev_fproof · cited by 0