Theorems · Inductive type · category theory
CategoryTheory.Functor.PreservesFiniteEffectiveEpiFamilies
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
{D : Type u_2} → [inst_1 : CategoryTheory.Category.{v_2, u_2} D] → CategoryTheory.Functor C D → PropA class describing the property of preserving finite effective epimorphic families.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.reflects_precoherentstatement and proof · cited by 3
- CategoryTheory.coherentTopology.exists_effectiveEpiFamily_iff_mem_inducedstatement and proof · cited by 1
- CategoryTheory.coherentTopology.coverPreservingstatement and proof · cited by 0
- CategoryTheory.coherentTopology.eq_inducedstatement and proof · cited by 0
- CategoryTheory.coherentTopology.equivalencestatement and proof · cited by 0
- CategoryTheory.Functor.PreservesFiniteEffectiveEpiFamilies.casesOnstatement and proof · cited by 0
- CategoryTheory.Functor.PreservesFiniteEffectiveEpiFamilies.preservesstatement and proof · cited by 0
- CategoryTheory.Functor.PreservesFiniteEffectiveEpiFamilies.recOnstatement and proof · cited by 0