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<span class="kw">let </span><font color="Maroon" title="c1">S</font> be    <a href="compos_1.html#L1" title="COMPOS_1:struct.1">COM-Struct</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">p</font> being   <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>   the <a href="compos_1.html#U1" title="COMPOS_1:sel.1">InstructionsF</a> of <font color="Maroon" title="c1">S</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b2">m</font>, <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">m</font>)</span>)</span>,<font color="Olive" title="b3">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Olive" title="b1">p</font>,<span class="p1">(<span class="default"><font color="Olive" title="b2">m</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">n</font></span>)</span>)</span><br/><span class="kw">let </span><font color="Maroon" title="c2">p</font> be   <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>   the <a href="compos_1.html#U1" title="COMPOS_1:sel.1">InstructionsF</a> of <font color="Maroon" title="c1">S</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">m</font>, <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Maroon" title="c2">p</font>,<font color="Olive" title="b1">m</font>)</span>)</span>,<font color="Olive" title="b2">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Maroon" title="c2">p</font>,<span class="p1">(<span class="default"><font color="Olive" title="b1">m</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">n</font></span>)</span>)</span><br/><span class="kw">let </span><font color="Maroon" title="c3">m</font>, <font color="Maroon" title="c4">n</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">m</font>)</span>)</span>,<font color="Maroon" title="c4">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Maroon" title="c2">p</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">m</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c4">n</font></span>)</span>)</span><br/>





<span class="kw">thus </span> <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<span class="p1">(<span class="default"><a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">m</font>)</span>)</span>,<font color="Maroon" title="c4">n</font>) = 
 <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> (<span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K5" title="COMPOS_1:func.5">IncAddr</a> (<span class="p3">(<span class="default"><a href="compos_1.html#K5" title="COMPOS_1:func.5">IncAddr</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">m</font>)</span>)</span>,<font color="Maroon" title="c4">n</font>)</span>)</span>,<font color="Maroon" title="c3">m</font>)</span>)</span>,<font color="Maroon" title="c4">n</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="compos_1.html#T34" target="_self" onmouseover="rs('compos_1/T34')" onmouseout="rh()">Th22</a></span>
<br/>.= 
 <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> (<span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> (<span class="p2">(<span class="default"><a href="compos_1.html#K5" title="COMPOS_1:func.5">IncAddr</a> (<font color="Maroon" title="c2">p</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">m</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c4">n</font></span>)</span>)</span>)</span>,<font color="Maroon" title="c3">m</font>)</span>)</span>,<font color="Maroon" title="c4">n</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="compos_1.html#T17" target="_self" onmouseover="rs('compos_1/T17')" onmouseout="rh()">Th8</a></span>
<br/>.= 
 <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Maroon" title="c2">p</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">m</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c4">n</font></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="valued_1.html#T21" onmouseover="rs('valued_1/T21')" onmouseout="rh()">VALUED_1:21</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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