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<span class="kw">let </span><font color="Maroon" title="c1">F</font>, <font color="Maroon" title="c2">G</font> be   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</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">V</font> being   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Maroon" title="c1">F</font><br/>  for <font color="Olive" title="b2">W</font> being   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Maroon" title="c2">G</font><br/>  for <font color="Olive" title="b3">f1</font>, <font color="Olive" title="b4">f2</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">W</font><br/>  for <font color="Olive" title="b5">x</font>, <font color="Olive" title="b6">h</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b7">r1</font>, <font color="Olive" title="b8">r2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">G</font><br/>  for <font color="Olive" title="b9">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b7">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Olive" title="b3">f1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p4">(<span class="default"><font color="Olive" title="b8">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Olive" title="b4">f2</font></span>)</span></span>)</span>,<font color="Olive" title="b6">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p2">(<span class="default"><font color="Olive" title="b9">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b7">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Olive" title="b3">f1</font>,<font color="Olive" title="b6">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b9">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b5">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b8">r2</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Olive" title="b4">f2</font>,<font color="Olive" title="b6">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b9">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b5">x</font></span>)</span></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c3">V</font> be   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Maroon" title="c1">F</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">W</font> being   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Maroon" title="c2">G</font><br/>  for <font color="Olive" title="b2">f1</font>, <font color="Olive" title="b3">f2</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c3">V</font>,<font color="Olive" title="b1">W</font><br/>  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">h</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">V</font><br/>  for <font color="Olive" title="b6">r1</font>, <font color="Olive" title="b7">r2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">G</font><br/>  for <font color="Olive" title="b8">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b6">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Olive" title="b2">f1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p4">(<span class="default"><font color="Olive" title="b7">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Olive" title="b3">f2</font></span>)</span></span>)</span>,<font color="Olive" title="b5">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p2">(<span class="default"><font color="Olive" title="b8">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Olive" title="b2">f1</font>,<font color="Olive" title="b5">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b8">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b4">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b7">r2</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Olive" title="b3">f2</font>,<font color="Olive" title="b5">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b8">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b4">x</font></span>)</span></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c4">W</font> be   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Maroon" title="c2">G</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">f1</font>, <font color="Olive" title="b2">f2</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c3">V</font>,<font color="Maroon" title="c4">W</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">h</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">V</font><br/>  for <font color="Olive" title="b5">r1</font>, <font color="Olive" title="b6">r2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">G</font><br/>  for <font color="Olive" title="b7">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b5">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Olive" title="b1">f1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p4">(<span class="default"><font color="Olive" title="b6">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Olive" title="b2">f2</font></span>)</span></span>)</span>,<font color="Olive" title="b4">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p2">(<span class="default"><font color="Olive" title="b7">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Olive" title="b1">f1</font>,<font color="Olive" title="b4">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b7">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b3">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">r2</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Olive" title="b2">f2</font>,<font color="Olive" title="b4">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b7">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b3">x</font></span>)</span></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c5">f1</font>, <font color="Maroon" title="c6">f2</font> be   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c3">V</font>,<font color="Maroon" title="c4">W</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>, <font color="Olive" title="b2">h</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">V</font><br/>  for <font color="Olive" title="b3">r1</font>, <font color="Olive" title="b4">r2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">G</font><br/>  for <font color="Olive" title="b5">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b3">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c5">f1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p4">(<span class="default"><font color="Olive" title="b4">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c6">f2</font></span>)</span></span>)</span>,<font color="Olive" title="b2">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p2">(<span class="default"><font color="Olive" title="b5">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c5">f1</font>,<font color="Olive" title="b2">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b5">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b1">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">r2</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c6">f2</font>,<font color="Olive" title="b2">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b5">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Olive" title="b1">x</font></span>)</span></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c7">x</font>, <font color="Maroon" title="c8">h</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">V</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">r1</font>, <font color="Olive" title="b2">r2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">G</font><br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b1">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c5">f1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p4">(<span class="default"><font color="Olive" title="b2">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c6">f2</font></span>)</span></span>)</span>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p2">(<span class="default"><font color="Olive" title="b3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c5">f1</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">r2</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c6">f2</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c9">r1</font>, <font color="Maroon" title="c10">r2</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">G</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">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c5">f1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p4">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c6">f2</font></span>)</span></span>)</span>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c5">f1</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c6">f2</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Olive" title="b1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c11">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"> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c5">f1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p4">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c6">f2</font></span>)</span></span>)</span>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c5">f1</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c6">f2</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span></span><br/>





















<span class="kw">set </span><font color="Maroon" title="c12">g1</font> = <font color="Maroon" title="c9">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c5">f1</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c13">g2</font> = <font color="Maroon" title="c10">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c6">f2</font>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c5">f1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p4">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c6">f2</font></span>)</span></span>)</span>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c5">f1</font></span>)</span>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c6">f2</font></span>)</span>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="vsdiff_1.html#T16" target="_self" onmouseover="rs('vsdiff_1/T16')" onmouseout="rh()">Th15</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c5">f1</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c6">f2</font></span>)</span>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="vsdiff_1.html#T15" target="_self" onmouseover="rs('vsdiff_1/T15')" onmouseout="rh()">Th14</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c5">f1</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c6">f2</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="vsdiff_1.html#T15" target="_self" onmouseover="rs('vsdiff_1/T15')" onmouseout="rh()">Th14</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:34"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c5">f1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p4">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vsdiff_1.html#K1" title="VSDIFF_1:func.1">(#)</a> <font color="Maroon" title="c6">f2</font></span>)</span></span>)</span>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">r1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c5">f1</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">r2</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="vsdiff_1.html#NK12" title="VSDIFF_1:NK.12">bdif</a> (<font color="Maroon" title="c6">f2</font>,<font color="Maroon" title="c8">h</font>)</span>)</span> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c7">x</font></span>)</span></span>)</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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