{
  localUrl: '../page/composition_of_group_homomorphisms_is_homomorphism.html',
  arbitalUrl: 'https://arbital.com/p/composition_of_group_homomorphisms_is_homomorphism',
  rawJsonUrl: '../raw/4b6.json',
  likeableId: '0',
  likeableType: 'page',
  myLikeValue: '0',
  likeCount: '0',
  dislikeCount: '0',
  likeScore: '0',
  individualLikes: [],
  pageId: 'composition_of_group_homomorphisms_is_homomorphism',
  edit: '2',
  editSummary: '',
  prevEdit: '1',
  currentEdit: '2',
  wasPublished: 'true',
  type: 'wiki',
  title: 'The composition of two group homomorphisms is a homomorphism',
  clickbait: 'The collection of group homomorphisms is closed under composition.',
  textLength: '258',
  alias: 'composition_of_group_homomorphisms_is_homomorphism',
  externalUrl: '',
  sortChildrenBy: 'likes',
  hasVote: 'false',
  voteType: '',
  votesAnonymous: 'false',
  editCreatorId: 'EricRogstad',
  editCreatedAt: '2016-06-14 22:51:04',
  pageCreatorId: 'PatrickStevens',
  pageCreatedAt: '2016-06-14 19:39:06',
  seeDomainId: '0',
  editDomainId: 'AlexeiAndreev',
  submitToDomainId: '0',
  isAutosave: 'false',
  isSnapshot: 'false',
  isLiveEdit: 'true',
  isMinorEdit: 'false',
  indirectTeacher: 'false',
  todoCount: '0',
  isEditorComment: 'false',
  isApprovedComment: 'true',
  isResolved: 'false',
  snapshotText: '',
  anchorContext: '',
  anchorText: '',
  anchorOffset: '0',
  mergedInto: '',
  isDeleted: 'false',
  viewCount: '43',
  text: 'Given two [47t group homomorphisms] $f: G \\to H$ and $g: H \\to K$, the composition $gf: G \\to K$ is also a homomorphism.\n\nTo prove this, note that $g(f(x)) g(f(y)) = g(f(x) f(y))$ since $g$ is a homomorphism; that is $g(f(xy))$ because $f$ is a homomorphism.',
  metaText: '',
  isTextLoaded: 'true',
  isSubscribedToDiscussion: 'false',
  isSubscribedToUser: 'false',
  isSubscribedAsMaintainer: 'false',
  discussionSubscriberCount: '2',
  maintainerCount: '2',
  userSubscriberCount: '0',
  lastVisit: '',
  hasDraft: 'false',
  votes: [],
  voteSummary: [
    '0',
    '0',
    '0',
    '0',
    '0',
    '0',
    '0',
    '0',
    '0',
    '0'
  ],
  muVoteSummary: '0',
  voteScaling: '0',
  currentUserVote: '-2',
  voteCount: '0',
  lockedVoteType: '',
  maxEditEver: '0',
  redLinkCount: '0',
  lockedBy: '',
  lockedUntil: '',
  nextPageId: '',
  prevPageId: '',
  usedAsMastery: 'false',
  proposalEditNum: '0',
  permissions: {
    edit: {
      has: 'false',
      reason: 'You don't have domain permission to edit this page'
    },
    proposeEdit: {
      has: 'true',
      reason: ''
    },
    delete: {
      has: 'false',
      reason: 'You don't have domain permission to delete this page'
    },
    comment: {
      has: 'false',
      reason: 'You can't comment in this domain because you are not a member'
    },
    proposeComment: {
      has: 'true',
      reason: ''
    }
  },
  summaries: {
    Summary: 'Given two [47t group homomorphisms] $f: G \\to H$ and $g: H \\to K$, the composition $gf: G \\to K$ is also a homomorphism.'
  },
  creatorIds: [
    'PatrickStevens',
    'EricRogstad'
  ],
  childIds: [],
  parentIds: [
    'group_homomorphism'
  ],
  commentIds: [],
  questionIds: [],
  tagIds: [],
  relatedIds: [
    'category_theory'
  ],
  markIds: [],
  explanations: [],
  learnMore: [
    {
      id: '3905',
      parentId: 'composition_of_group_homomorphisms_is_homomorphism',
      childId: 'composition_of_group_homomorphisms_is_homomorphism',
      type: 'subject',
      creatorId: 'AlexeiAndreev',
      createdAt: '2016-06-17 21:58:56',
      level: '1',
      isStrong: 'false',
      everPublished: 'true'
    }
  ],
  requirements: [
    {
      id: '3904',
      parentId: 'group_homomorphism',
      childId: 'composition_of_group_homomorphisms_is_homomorphism',
      type: 'requirement',
      creatorId: 'AlexeiAndreev',
      createdAt: '2016-06-17 21:58:56',
      level: '1',
      isStrong: 'false',
      everPublished: 'true'
    }
  ],
  subjects: [
    {
      id: '3905',
      parentId: 'composition_of_group_homomorphisms_is_homomorphism',
      childId: 'composition_of_group_homomorphisms_is_homomorphism',
      type: 'subject',
      creatorId: 'AlexeiAndreev',
      createdAt: '2016-06-17 21:58:56',
      level: '1',
      isStrong: 'false',
      everPublished: 'true'
    }
  ],
  lenses: [],
  lensParentId: '',
  pathPages: [],
  learnMoreTaughtMap: {},
  learnMoreCoveredMap: {},
  learnMoreRequiredMap: {},
  editHistory: {},
  domainSubmissions: {},
  answers: [],
  answerCount: '0',
  commentCount: '0',
  newCommentCount: '0',
  linkedMarkCount: '0',
  changeLogs: [
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '12925',
      pageId: 'composition_of_group_homomorphisms_is_homomorphism',
      userId: 'MarkChimes',
      edit: '2',
      type: 'newUsedAsTag',
      createdAt: '2016-06-15 06:49:41',
      auxPageId: 'category_theory',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '2729',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '1',
      dislikeCount: '0',
      likeScore: '1',
      individualLikes: [],
      id: '12869',
      pageId: 'composition_of_group_homomorphisms_is_homomorphism',
      userId: 'EricRogstad',
      edit: '2',
      type: 'newEdit',
      createdAt: '2016-06-14 22:51:04',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '12775',
      pageId: 'composition_of_group_homomorphisms_is_homomorphism',
      userId: 'PatrickStevens',
      edit: '0',
      type: 'newTeacher',
      createdAt: '2016-06-14 19:39:06',
      auxPageId: 'composition_of_group_homomorphisms_is_homomorphism',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '12776',
      pageId: 'composition_of_group_homomorphisms_is_homomorphism',
      userId: 'PatrickStevens',
      edit: '0',
      type: 'newSubject',
      createdAt: '2016-06-14 19:39:06',
      auxPageId: 'composition_of_group_homomorphisms_is_homomorphism',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '12777',
      pageId: 'composition_of_group_homomorphisms_is_homomorphism',
      userId: 'PatrickStevens',
      edit: '1',
      type: 'newEdit',
      createdAt: '2016-06-14 19:39:06',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '12772',
      pageId: 'composition_of_group_homomorphisms_is_homomorphism',
      userId: 'PatrickStevens',
      edit: '1',
      type: 'newRequirement',
      createdAt: '2016-06-14 19:38:55',
      auxPageId: 'group_homomorphism',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '12771',
      pageId: 'composition_of_group_homomorphisms_is_homomorphism',
      userId: 'PatrickStevens',
      edit: '1',
      type: 'newParent',
      createdAt: '2016-06-14 19:36:56',
      auxPageId: 'group_homomorphism',
      oldSettingsValue: '',
      newSettingsValue: ''
    }
  ],
  feedSubmissions: [],
  searchStrings: {},
  hasChildren: 'false',
  hasParents: 'true',
  redAliases: {},
  improvementTagIds: [],
  nonMetaTagIds: [],
  todos: [],
  slowDownMap: 'null',
  speedUpMap: 'null',
  arcPageIds: 'null',
  contentRequests: {}
}