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add some examples
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dagurtomas committed Jun 15, 2024
1 parent f172018 commit dc05203
Showing 1 changed file with 8 additions and 2 deletions.
10 changes: 8 additions & 2 deletions LeanCondensed/LightCondensed/Small.lean
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
import Mathlib.CategoryTheory.Sites.Coherent.Equivalence
import Mathlib.Condensed.Light.Basic
import Mathlib.Condensed.Light.Module

universe v u w

Expand All @@ -13,6 +13,12 @@ instance : LocallySmall.{max v w} (LightCondensed.{w} C) := by
erw [locallySmall_congr ((equivSmallModel LightProfinite.{w}).sheafCongrPrecoherent C)]
infer_instance

example (A B : LightCondensed.{w} C) : Small.{max v w} (A ⟶ B) := LocallySmall.hom_small A B
example (A B : LightCondensed.{w} C) : Small.{max v w} (A ⟶ B) := inferInstance

example : LocallySmall.{u} LightCondSet.{u} := inferInstance

example (R : Type) [Ring R] : LocallySmall.{0} (LightCondMod R) := inferInstance

example : LocallySmall.{0} LightCondAb := inferInstance

end LightCondensed

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