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Remove three Local Instances that are already Global Instances
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jdchristensen committed Jan 1, 2024
1 parent e6a719d commit ab2543e
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Showing 2 changed files with 0 additions and 6 deletions.
3 changes: 0 additions & 3 deletions theories/Algebra/Groups/ShortExactSequence.v
Original file line number Diff line number Diff line change
Expand Up @@ -38,9 +38,6 @@ Proof.
exact (grp_homo_unit f).
Defined.

Local Existing Instance ishprop_phomotopy_hset.
Local Existing Instance ishprop_isexact_hset.

(** A complex 0 -> A -> B of groups is purely exact if and only if the map A -> B is an embedding. *)
Lemma iff_grp_isexact_isembedding `{Funext} {A B : Group} (f : A $-> B)
: IsExact purely (@grp_homo_const grp_trivial A) f <-> IsEmbedding f.
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3 changes: 0 additions & 3 deletions theories/Homotopy/ExactSequence.v
Original file line number Diff line number Diff line change
Expand Up @@ -127,14 +127,11 @@ Proof.
exact (concat_p1 _ @ concat_1p _).
Defined.

Local Existing Instance ishprop_phomotopy_hset.

(** If Y is a set, then IsComplex is an HProp. *)
Global Instance ishprop_iscomplex_hset `{Univalence} {F X Y : pType} `{IsHSet Y}
(i : F ->* X) (f : X ->* Y)
: IsHProp (IsComplex i f) := {}.


(** ** Very short exact sequences and fiber sequences *)

(** A complex is [n]-exact if the induced map [cxfib] is [n]-connected. *)
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