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<b>let </b><font color="Maroon" title="c1">G</font> be   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/><b>let </b><font color="Maroon" title="c2">H1</font> be    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c1">G</font>;<br/><b>let </b><font color="Maroon" title="c3">H3</font>, <font color="Maroon" title="c4">H2</font> be  <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>  <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c1">G</font>;<br/>





<b>assume </b><a NAME="E1:75"/><i><font color="Green" title="E41">A1</font></i>: 
<font color="Maroon" title="c2">H1</font> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c4">H2</font>
 ;<br/>

<span class="p1">(<span class="default"><font color="Maroon" title="c2">H1</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font></span>)</span> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">H2</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">H1</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font></span>)</span> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c4">H2</font></span>)</span> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font>
<b>by </b><i><a class="ref" href="group_4.html#T75" target="_self" title="GROUP_4:th.75">Th75</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">H1</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">H3</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c4">H2</font></span>)</span></span>)</span> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font>
<b>by </b><i><a class="ref" href="group_4.html#T75" target="_self" title="GROUP_4:th.75">Th75</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">H1</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">H2</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font></span>)</span></span>)</span> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">H1</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c4">H2</font></span>)</span> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font></span>)</span> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font>
<b>by </b><i><a class="ref" href="group_4.html#T75" target="_self" title="GROUP_4:th.75">Th75</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">H2</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font></span>)</span> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font>
<b>by </b><i><a class="txt" href="group_4.html#E1:75"><i><font color="Green" title="E41">A1</font></i></a>, <a class="ref" href="group_4.html#T79" target="_self" title="GROUP_4:th.79">Th79</a></i>
<br/>.= 
<font color="Maroon" title="c4">H2</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">H3</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font></span>)</span>
<b>by </b><i><a class="ref" href="group_4.html#T75" target="_self" title="GROUP_4:th.75">Th75</a></i>
<br/>.= 
<font color="Maroon" title="c4">H2</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font>
<b>by </b><i><a class="ref" href="group_4.html#T40" target="_self" title="GROUP_4:th.40">Th40</a></i>
;<br/>
<b>hence </b><a NAME="E3:75"/>
<font color="Maroon" title="c2">H1</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c4">H2</font> <a href="group_4.html#K8" title="GROUP_4:func.8">"\/"</a> <font color="Maroon" title="c3">H3</font>
 <b>by </b><i><a class="ref" href="group_4.html#T79" target="_self" title="GROUP_4:th.79">Th79</a></i>;<br/>


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