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-rw-r--r--vernac/comInductive.ml9
1 files changed, 7 insertions, 2 deletions
diff --git a/vernac/comInductive.ml b/vernac/comInductive.ml
index cc3f7bc093..6cf6606a93 100644
--- a/vernac/comInductive.ml
+++ b/vernac/comInductive.ml
@@ -327,8 +327,13 @@ let inductive_levels env evd arities inds =
let duu = Sorts.univ_of_sort du in
let template_prop, evd =
if not (Univ.is_small_univ duu) && Univ.Universe.equal cu duu then
- if is_flexible_sort evd duu && not (Evd.check_leq evd Univ.type0_univ duu) then
- true, Evd.set_eq_sort env evd Sorts.prop du
+ if is_flexible_sort evd duu && not (Evd.check_leq evd Univ.type0_univ duu)
+ then if Term.isArity arity
+ (* If not a syntactic arity, the universe may be used in a
+ polymorphic instance and so cannot be lowered to Prop.
+ See #13300. *)
+ then true, Evd.set_eq_sort env evd Sorts.prop du
+ else false, Evd.set_eq_sort env evd Sorts.set du
else false, evd
else false, Evd.set_eq_sort env evd (sort_of_univ cu) du
in