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<span class="kw">let </span><font color="Maroon" title="c1">Al</font> be    <a href="qc_lang1.html#M1" title="QC_LANG1:mode.1">QC-alphabet</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="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K3" title="CQC_LANG:func.3">CQC-WFF</a> <font color="Maroon" title="c1">Al</font><br/>  for <font color="Olive" title="b2">x</font> being   <a href="qc_lang1.html#NM5" title="QC_LANG1:NM.5">bound_QC-variable</a> of <font color="Maroon" title="c1">Al</font><br/>  for <font color="Olive" title="b3">Sub</font> being   <a href="substut1.html#NM1" title="SUBSTUT1:NM.1">CQC_Substitution</a> of <font color="Maroon" title="c1">Al</font> holds <br/> ( <span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b1">p</font>)</span>)</span>,<font color="Olive" title="b3">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sublemma.html#K9" title="SUBLEMMA:func.9">CQCSub_All</a> (<span class="p1">(<span class="default"><a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">Sub</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="substut2.html#K8" title="SUBSTUT2:func.8">Qsc</a> (<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">Sub</font>)</span>)</span>) &amp;  <a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">Sub</font>) is  <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a>  )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">p</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K3" title="CQC_LANG:func.3">CQC-WFF</a> <font color="Maroon" title="c1">Al</font>; <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">x</font> being   <a href="qc_lang1.html#NM5" title="QC_LANG1:NM.5">bound_QC-variable</a> of <font color="Maroon" title="c1">Al</font><br/>  for <font color="Olive" title="b2">Sub</font> being   <a href="substut1.html#NM1" title="SUBSTUT1:NM.1">CQC_Substitution</a> of <font color="Maroon" title="c1">Al</font> holds <br/> ( <span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Olive" title="b1">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Olive" title="b2">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sublemma.html#K9" title="SUBLEMMA:func.9">CQCSub_All</a> (<span class="p1">(<span class="default"><a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">Sub</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="substut2.html#K8" title="SUBSTUT2:func.8">Qsc</a> (<font color="Maroon" title="c2">p</font>,<font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">Sub</font>)</span>)</span>) &amp;  <a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">Sub</font>) is  <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a>  )</span><br/><span class="kw">let </span><font color="Maroon" title="c3">x</font> be   <a href="qc_lang1.html#NM5" title="QC_LANG1:NM.5">bound_QC-variable</a> of <font color="Maroon" title="c1">Al</font>; <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">Sub</font> being   <a href="substut1.html#NM1" title="SUBSTUT1:NM.1">CQC_Substitution</a> of <font color="Maroon" title="c1">Al</font> holds <br/> ( <span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Olive" title="b1">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sublemma.html#K9" title="SUBLEMMA:func.9">CQCSub_All</a> (<span class="p1">(<span class="default"><a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Olive" title="b1">Sub</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="substut2.html#K8" title="SUBSTUT2:func.8">Qsc</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Olive" title="b1">Sub</font>)</span>)</span>) &amp;  <a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Olive" title="b1">Sub</font>) is  <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a>  )</span><br/><span class="kw">let </span><font color="Maroon" title="c4">Sub</font> be   <a href="substut1.html#NM1" title="SUBSTUT1:NM.1">CQC_Substitution</a> of <font color="Maroon" title="c1">Al</font>; <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"> ( <span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sublemma.html#K9" title="SUBLEMMA:func.9">CQCSub_All</a> (<span class="p1">(<span class="default"><a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="substut2.html#K8" title="SUBSTUT2:func.8">Qsc</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>)</span>)</span>) &amp;  <a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>) is  <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a>  )</span><br/>







<span class="kw">set </span><font color="Maroon" title="c5">S</font> = <span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><font color="Maroon" title="c2">p</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut2.html#K6" title="SUBSTUT2:func.6">CFQ</a> <font color="Maroon" title="c1">Al</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p3"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p4">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span></span>)</span></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c6">B</font> = <span class="p1"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><span class="p2"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><font color="Maroon" title="c2">p</font>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="substut2.html#K6" title="SUBSTUT2:func.6">CFQ</a> <font color="Maroon" title="c1">Al</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p4"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p5">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span></span>)</span></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span>,<font color="Maroon" title="c3">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span>;<br/>
<a NAME="E1:33"/><span class="lab"><font color="Green" title="E19">A1</font></span>: 
( <span class="p1"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><span class="p2"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><font color="Maroon" title="c2">p</font>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="substut2.html#K6" title="SUBSTUT2:func.6">CFQ</a> <font color="Maroon" title="c1">Al</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p4"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p5">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span></span>)</span></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span>,<font color="Maroon" title="c3">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span> <a href="substut1.html#K23" title="SUBSTUT1:func.23">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">x</font> &amp; <span class="p1">(<span class="default"><span class="p2"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><span class="p3"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><font color="Maroon" title="c2">p</font>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="substut2.html#K6" title="SUBSTUT2:func.6">CFQ</a> <font color="Maroon" title="c1">Al</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p5"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p0">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span></span>)</span></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span>,<font color="Maroon" title="c3">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span> <a href="sublemma.html#K8" title="SUBLEMMA:func.8">`1</a></span>)</span> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">p</font> )
 
;<br/>
<a NAME="E2:33"/>
<span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="substut1.html#K38" title="SUBSTUT1:func.38">CQC-Sub-WFF</a> <font color="Maroon" title="c1">Al</font>
 
;<br/>
<a NAME="E3:33"/><span class="kw">then </span><span class="lab"><font color="Green" title="E20">A2</font></span>: 
<span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="substut2.html#K6" title="SUBSTUT2:func.6">CFQ</a> <font color="Maroon" title="c1">Al</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_2.html#D1" onmouseover="rs('funct_2/D1')" onmouseout="rh()">FUNCT_2:def 1</a></span>;<br/>
<a NAME="E4:33"/>
<span class="p1">(<span class="default"><span class="p2"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><span class="p3"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><font color="Maroon" title="c2">p</font>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="substut2.html#K6" title="SUBSTUT2:func.6">CFQ</a> <font color="Maroon" title="c1">Al</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p5"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p0">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span></span>)</span></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span>,<font color="Maroon" title="c3">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span> <a href="sublemma.html#K8" title="SUBLEMMA:func.8">`1</a></span>)</span> <a href="substut2.html#K5" title="SUBSTUT2:func.5">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="substut1.html#K15" title="SUBSTUT1:func.15">QSub</a> <font color="Maroon" title="c1">Al</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<span class="p3">(<span class="default"><span class="p4"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><span class="p5"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><font color="Maroon" title="c2">p</font>,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="substut2.html#K6" title="SUBSTUT2:func.6">CFQ</a> <font color="Maroon" title="c1">Al</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span></span>)</span></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span>,<font color="Maroon" title="c3">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span> <a href="substut1.html#K23" title="SUBSTUT1:func.23">`2</a></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><span class="p0"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><font color="Maroon" title="c2">p</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut2.html#K6" title="SUBSTUT2:func.6">CFQ</a> <font color="Maroon" title="c1">Al</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p3">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span></span>)</span></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span>,<font color="Maroon" title="c3">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span> <a href="sublemma.html#K8" title="SUBLEMMA:func.8">`1</a></span>)</span> <a href="sublemma.html#K2" title="SUBLEMMA:func.2">`1</a></span>)</span>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:33"><span class="lab"><font color="Green" title="E20">A2</font></span></a>, <a class="ref" href="funct_1.html#T47" onmouseover="rs('funct_1/T47')" onmouseout="rh()">FUNCT_1:47</a></span>;<br/>
<a NAME="E5:33"/><span class="kw">then </span><span class="lab"><font color="Green" title="E21">A3</font></span>: 
<span class="p1"><a href="sublemma.html#K7" title="SUBLEMMA:func.7">[</a><span class="default"><span class="p2"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><font color="Maroon" title="c2">p</font>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="substut2.html#K6" title="SUBSTUT2:func.6">CFQ</a> <font color="Maroon" title="c1">Al</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p4"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p5">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span></span>)</span></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span>,<font color="Maroon" title="c3">x</font></span><a href="sublemma.html#K7" title="SUBLEMMA:func.7">]</a></span> is  <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="substut1.html#D22" onmouseover="rs('substut1/D22')" onmouseout="rh()">SUBSTUT1:def 22</a></span>;<br/>
<a NAME="E6:33"/><span class="kw">then </span>
 <a href="sublemma.html#K9" title="SUBLEMMA:func.9">CQCSub_All</a> (<span class="p1">(<span class="default"><a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="substut2.html#K8" title="SUBSTUT2:func.8">Qsc</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="substut1.html#K24" title="SUBSTUT1:func.24">Sub_All</a> (<span class="p1">(<span class="default"><a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="substut2.html#K8" title="SUBSTUT2:func.8">Qsc</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>)</span>)</span>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="sublemma.html#D5" onmouseover="rs('sublemma/D5')" onmouseout="rh()">SUBLEMMA:def 5</a></span>;<br/>
<span class="kw">hence </span><a NAME="E7:33"/>
( <span class="p1"><a href="substut2.html#K2" title="SUBSTUT2:func.2">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K11" title="CQC_LANG:func.11">All</a> (<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<font color="Maroon" title="c4">Sub</font></span><a href="substut2.html#K2" title="SUBSTUT2:func.2">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sublemma.html#K9" title="SUBLEMMA:func.9">CQCSub_All</a> (<span class="p1">(<span class="default"><a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="substut2.html#K8" title="SUBSTUT2:func.8">Qsc</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>)</span>)</span>) &amp;  <a href="substut2.html#K7" title="SUBSTUT2:func.7">QScope</a> (<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">x</font>,<font color="Maroon" title="c4">Sub</font>) is  <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:33"><span class="lab"><font color="Green" title="E19">A1</font></span></a>, <a class="txt" href="#E5:33"><span class="lab"><font color="Green" title="E21">A3</font></span></a>, <a class="ref" href="substut1.html#D24" onmouseover="rs('substut1/D24')" onmouseout="rh()">SUBSTUT1:def 24</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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