matita/contribs/CoRN-Decl/algebra/CAbMonoids.ma

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/algebra/CAbMonoids".
  18
  19 (* INCLUDE
  20 CMonoids
  21 *)
  22
  23 (* UNEXPORTED
  24 Section Abelian_Monoids.
  25 *)
  26
  27 (*#*
  28 * Abelian Monoids
  29 Now we introduce commutativity and add some results.
  30 *)
  31
  32 inline cic:/CoRN/algebra/CAbMonoids/is_CAbMonoid.con.
  33
  34 inline cic:/CoRN/algebra/CAbMonoids/CAbMonoid.ind.
  35
  36 (* UNEXPORTED
  37 Section AbMonoid_Axioms.
  38 *)
  39
  40 inline cic:/CoRN/algebra/CAbMonoids/M.var.
  41
  42 (*#*
  43 %\begin{convention}% Let [M] be an abelian monoid.
  44 %\end{convention}%
  45 *)
  46
  47 inline cic:/CoRN/algebra/CAbMonoids/CAbMonoid_is_CAbMonoid.con.
  48
  49 inline cic:/CoRN/algebra/CAbMonoids/cam_commutes.con.
  50
  51 inline cic:/CoRN/algebra/CAbMonoids/cam_commutes_unfolded.con.
  52
  53 (* UNEXPORTED
  54 End AbMonoid_Axioms.
  55 *)
  56
  57 (* UNEXPORTED
  58 Section SubCAbMonoids.
  59 *)
  60
  61 (*#*
  62 ** Subgroups of an Abelian Monoid
  63 *)
  64
  65 inline cic:/CoRN/algebra/CAbMonoids/M.var.
  66
  67 inline cic:/CoRN/algebra/CAbMonoids/P.var.
  68
  69 inline cic:/CoRN/algebra/CAbMonoids/Punit.var.
  70
  71 inline cic:/CoRN/algebra/CAbMonoids/op_pres_P.var.
  72
  73 (*#*
  74 %\begin{convention}%
  75 Let [M] be an Abelian Monoid and [P] be a ([CProp]-valued) predicate on [M]
  76 that contains [Zero] and is closed under [[+]] and [[--]].
  77 %\end{convention}%
  78 *)
  79
  80 inline cic:/CoRN/algebra/CAbMonoids/subcrr.con.
  81
  82 inline cic:/CoRN/algebra/CAbMonoids/isabgrp_scrr.con.
  83
  84 inline cic:/CoRN/algebra/CAbMonoids/Build_SubCAbMonoid.con.
  85
  86 (* UNEXPORTED
  87 End SubCAbMonoids.
  88 *)
  89
  90 (* UNEXPORTED
  91 End Abelian_Monoids.
  92 *)
  93
  94 (* UNEXPORTED
  95 Hint Resolve cam_commutes_unfolded: algebra.
  96 *)
  97