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Merge pull request #2201 from Alizter/ps/rr/image_of_a_subgroup
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image of a subgroup
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Alizter authored Jan 22, 2025
2 parents 8340a1f + 9f85dd5 commit 03ff069
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Showing 10 changed files with 319 additions and 240 deletions.
2 changes: 1 addition & 1 deletion theories/Algebra/AbGroups/AbPushout.v
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Require Import Basics Types Truncations.Core.
Require Import WildCat.Core HSet.
Require Export Algebra.Groups.Image Algebra.Groups.QuotientGroup.
Require Export Algebra.Groups.QuotientGroup.
Require Import AbGroups.AbelianGroup AbGroups.Biproduct.

Local Open Scope mc_scope.
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2 changes: 0 additions & 2 deletions theories/Algebra/Groups.v
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Require Export HoTT.Algebra.Groups.Group.
Require Export HoTT.Algebra.Groups.Subgroup.
Require Export HoTT.Algebra.Groups.Image.
Require Export HoTT.Algebra.Groups.Kernel.

Require Export HoTT.Algebra.Groups.QuotientGroup.
Require Export HoTT.Algebra.Groups.GrpPullback.
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73 changes: 0 additions & 73 deletions theories/Algebra/Groups/Image.v

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94 changes: 0 additions & 94 deletions theories/Algebra/Groups/Kernel.v

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4 changes: 1 addition & 3 deletions theories/Algebra/Groups/QuotientGroup.v
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Expand Up @@ -3,8 +3,6 @@ Require Import Truncations.Core.
Require Import Algebra.Congruence.
Require Import Algebra.Groups.Group.
Require Import Algebra.Groups.Subgroup.
Require Export Algebra.Groups.Image.
Require Export Algebra.Groups.Kernel.
Require Export Colimits.Quotient.
Require Import HSet.
Require Import Spaces.Finite.Finite.
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: A / grp_kernel phi $-> grp_image phi.
Proof.
srapply grp_quotient_rec.
+ srapply grp_image_in.
+ srapply grp_homo_image_in.
+ intros n x.
by apply path_sigma_hprop.
Defined.
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2 changes: 1 addition & 1 deletion theories/Algebra/Groups/ShortExactSequence.v
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Require Import Basics Types.
Require Import Truncations.Core.
Require Import WildCat.Core Pointed.
Require Import Groups.Group Groups.Subgroup Groups.Kernel.
Require Import Groups.Group Groups.Subgroup.
Require Import Homotopy.ExactSequence Modalities.Identity.

(** * Complexes of groups *)
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