File tree Expand file tree Collapse file tree
Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -146,7 +146,7 @@ lemma isSolid_of_isLimit {J : Type*} [SmallCategory J]
146146 (c : Cone F) (hc : IsLimit c)
147147 (hj : ∀ j, (F.obj j).IsSolid) :
148148 c.pt.IsSolid := by
149- refine ⟨fun X => ?⟩
149+ refine ⟨fun X => ?_ ⟩
150150 rw [isIso_iff_bijective]
151151 set sol := (profiniteSolidification R).app X
152152 have bijFun : ∀ j, Function.Bijective ((yoneda.obj (F.obj j)).map sol.op) := by
@@ -176,7 +176,7 @@ lemma isSolid_of_isLimit {J : Type*} [SmallCategory J]
176176 naturality := fun j k φ => by
177177 change 𝟙 _ ≫ g_j k = g_j j ≫ F.map φ
178178 simp only [Category.id_comp]; exact (compat φ).symm } }
179- refine ⟨hc.lift g_cone, ?⟩
179+ refine ⟨hc.lift g_cone, ?_ ⟩
180180 change sol ≫ hc.lift g_cone = h_map
181181 apply hc.hom_ext; intro j
182182 have hfac : hc.lift g_cone ≫ c.π.app j = g_j j := hc.fac g_cone j
You can’t perform that action at this time.
0 commit comments