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      subset_ext{,'}
    {empty,full}set
    {empty,full}
      {emptyset_empty,fullset_full}?
      {empty_emptyset,full_fullset}
    incl
      incl_{refl,antisym,trans}
      full_not_empty
      {empty?,full}_incl?
      incl_{empty,full?}
    same
      same_{refl?,sym,trans}
    disj
      disj_equiv_def
      disj_{irrefl,sym}
      disj_{empty?,full,monot}_{l,r}
      incl_disj
    compl
      compl_{empty,full,invol,reg}
      {incl,same}_compl{',}
      disj_incl_compl_{l,r}
    {union,inter}
      {union,inter}_{assoc,comm,idem}
      {union,inter}_{empty,full}_{l,r}
      {empty_union,full_inter}
      union_{ub_{l,r},lub},inter_{lb_{l,r},glb}
      incl_{union,inter}
      {union,inter}_{left,right,monot_{l,r}}
      disj_{union,inter}_{l,r}
      {union,inter}_compl_{l,r}
      {incl,disj}_inter_union
      compl_{union,inter}
      distrib_{union,inter}_{union,inter}_{l,r}
      distrib_{union_inter,inter_union}
      disj_compl_{l,r}
    diff
      diff_equiv_def_{union,inter}
      {compl,inter,union}_equiv_def_diff
      partition_diff_{l,r}
      diff_monot_{l,r}
      {disj,empty,full,compl}_diff
      diff_{empty,full,compl}_{l,r}
      diff_compl
      diff_{union,inter}_{l,r}{,'}
      union_diff_{l,r}
      distrib_inter_diff_{l,r}
      diff2_{l,r{,_inter}}
      diff2{,_diag_{l,r},_cancel_left}
    sym_diff
      sym_diff_equiv_def_{union,diff}
      {union,inter}_equiv_def_sym_diff
      diff_equiv_def_sym_diff_{union,inter}
      sym_diff_{assoc,comm,inv}
      sym_diff_{empty,full,eq_reg,compl}_{l,r}
      sym_diff_compl
      super_distrib_union_sym_diff{_{l,r},}
      sub_distrib_sym_diff_union{_{l,r},}
      distrib_inter_sym_diff{_{l,r},}
      super_distrib_sym_diff_inter{_{l,r},}
      sym_diff_union
      {disj,union,partition}_sym_diff_inter
      sym_diff_cancel_middle
      sym_diff2
      sym_diff_triangle_ineq
      sym_diff_diff_diag_l
    partition
      partition_sym
      partition_inter_{l,r}