Theorems · Definition · algebraic topology
SSet.Subcomplex.toRange
{X Y : SSet} → (f : X ⟶ Y) → X ⟶ (SSet.Subcomplex.range f).toSSetThe morphism X ⟶ Subcomplex.range f induced by f : X ⟶ Y.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Quiver.Homstatement and proof · cited by 32,603
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplex.toSSetstatement · cited by 315
- SSet.Subcomplex.rangestatement · cited by 49
- CategoryTheory.Subfunctor.toRangeproof · cited by 10
Cited by7
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMonoproof · cited by 14
- SSet.hasDimensionLT_of_monoproof · cited by 2
- SSet.Subcomplex.toRange_ιstatement · cited by 1
- SSet.Subcomplex.toRange_app_valstatement · cited by 0
- SSet.Subcomplex.toRange_ι_assocstatement and proof · cited by 0
- SSet.degenerate_iff_of_monoproof · cited by 0
- SSet.relativeCellComplexOfMono_isoBotstatement · cited by 0