Mathlib Map

Theorems · Theorem · algebraic topology

SSet.RelativeMorphism.image_le

∀ {X Y : SSet} {A : X.Subcomplex} {B : Y.Subcomplex} {φ : A.toSSet ⟶ B.toSSet} (f : SSet.RelativeMorphism A B φ),
  A.image f.map ≤ B
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.RelativeMorphism
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SSet.RelativeMorphism.le_preimage · cited by 0RelativeMorphism.le_preim…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homSimplexCategory · cited by 2204SimplexCategorySSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.toSSet · cited by 315Subcomplex.toSSetCategoryTheory.Subfunctor.obj · cited by 227Subfunctor.objSSet.RelativeMorphism.map · cited by 51RelativeMorphism.mapSSet.RelativeMorphism · cited by 39SSet.RelativeMorphismSSet.Subcomplex.image · cited by 26Subcomplex.imageSSet.RelativeMorphism.map_coe · cited by 1RelativeMorphism.map_coeRelativeMorphism.image_leCITED BYCITES

Cites15

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.