<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: MATRLIN:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">V1</font>, <font color="Olive" title="b3">V2</font> being   <a href="matrlin.html#V1" title="MATRLIN:attr.1">finite-dimensional</a>  <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Olive" title="b1">K</font><br/>  for <font color="Olive" title="b4">f1</font>, <font color="Olive" title="b5">f2</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b2">V1</font>,<font color="Olive" title="b3">V2</font><br/>  for <font color="Olive" title="b6">b1</font> being    <a href="matrlin.html#M1" title="MATRLIN:mode.1">OrdBasis</a> of <font color="Olive" title="b2">V1</font><br/>  for <font color="Olive" title="b7">b2</font> being    <a href="matrlin.html#M1" title="MATRLIN:mode.1">OrdBasis</a> of <font color="Olive" title="b3">V2</font> holds   <a href="matrlin.html#K10" title="MATRLIN:func.10">AutMt</a> (<span class="p1">(<span class="default"><font color="Olive" title="b4">f1</font> <a href="matrlin.html#K3" title="MATRLIN:func.3">+</a> <font color="Olive" title="b5">f2</font></span>)</span>,<font color="Olive" title="b6">b1</font>,<font color="Olive" title="b7">b2</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="matrlin.html#K10" title="MATRLIN:func.10">AutMt</a> (<font color="Olive" title="b4">f1</font>,<font color="Olive" title="b6">b1</font>,<font color="Olive" title="b7">b2</font>)</span>)</span> <a href="matrix_3.html#K3" title="MATRIX_3:func.3">+</a> <span class="p1">(<span class="default"><a href="matrlin.html#K10" title="MATRLIN:func.10">AutMt</a> (<font color="Olive" title="b5">f2</font>,<font color="Olive" title="b6">b1</font>,<font color="Olive" title="b7">b2</font>)</span>)</span></div></div>
