Theorems · Theorem · category theory
CategoryTheory.NatTrans.Equifibered.of_isIso
∀ {J : Type u_1} {C : Type u_3} [inst : CategoryTheory.Category.{v_1, u_1} J]
[inst_1 : CategoryTheory.Category.{v_2, u_3} C] {F G : CategoryTheory.Functor J C} (α : F ⟶ G)
[CategoryTheory.IsIso α], CategoryTheory.NatTrans.Equifibered α- Cited by
- 7 results in Mathlib
- Foundations
- Depth 37 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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.NatTrans.naturalityproof · cited by 318
- CategoryTheory.NatTrans.Equifiberedstatement · cited by 41
- CategoryTheory.IsPullback.of_vert_isIsoproof · cited by 21
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.IsVanKampenColimit.precompose_isIsoproof · cited by 4
- CategoryTheory.IsVanKampenColimit.map_reflectiveproof · cited by 2
- CategoryTheory.IsUniversalColimit.precompose_isIsoproof · cited by 1
- CategoryTheory.IsUniversalColimit.whiskerEquivalenceproof · cited by 1
- CategoryTheory.IsVanKampenColimit.whiskerEquivalenceproof · cited by 1
- CategoryTheory.IsUniversalColimit.map_reflectiveproof · cited by 1
- CategoryTheory.NatTrans.equifibered_of_isIsoproof · cited by 0