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fix spacing and add comment about universes
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Signed-off-by: Ali Caglayan <[email protected]>
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Alizter committed Jan 21, 2025
1 parent a412b5c commit b2c7d9f
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3 changes: 2 additions & 1 deletion theories/Algebra/Groups/QuotientGroup.v
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Expand Up @@ -116,6 +116,7 @@ Section Cosets.

Definition LeftCoset := G / in_cosetL H.

(** TODO: Way too many universes, needs fixing *)
(** The set of left cosets of a finite subgroup of a finite group is finite. *)
Global Instance finite_leftcoset `{Univalence, Finite G, Finite H}
: Finite LeftCoset.
Expand All @@ -128,7 +129,7 @@ Section Cosets.
Defined.

(** The index of a subgroup is the number of possible cosets of the subgroup. *)
Definition subgroup_index `{Univalence, Finite G, Finite H} : nat
Definition subgroup_index `{Univalence, Finite G, Finite H} : nat
:= fcard LeftCoset.

Definition RightCoset := G / in_cosetR H.
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