Theorems · Theorem · category theory
CategoryTheory.NatTrans.Equifibered.of_discrete
∀ {C : Type u_3} {ι : Type u_5} [inst : CategoryTheory.Category.{v_2, u_3} C]
{F G : CategoryTheory.Functor (CategoryTheory.Discrete ι) C} (α : F ⟶ G), CategoryTheory.NatTrans.Equifibered α- Cited by
- 11 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.IsPullbackproof · cited by 320
- CategoryTheory.Discrete.asproof · cited by 269
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.BinaryCofan.isVanKampen_iffproof · cited by 2
- CategoryTheory.isUniversalColimit_extendCofanproof · cited by 2
- CategoryTheory.isPullback_of_cofan_isVanKampenproof · cited by 2
- CategoryTheory.BinaryCofan.isPullback_initial_to_of_isVanKampenproof · cited by 1
- CategoryTheory.BinaryCofan.mono_inr_of_isVanKampenproof · cited by 1
- CategoryTheory.isVanKampenColimit_extendCofanproof · cited by 1
- CategoryTheory.hasStrictInitial_of_isUniversalproof · cited by 0
- CategoryTheory.mapPair_equifiberedproof · cited by 0
- CategoryTheory.NatTrans.equifibered_of_discreteproof · cited by 0