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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<title>Module Qcert.Data.Operators.BinaryOperators</title>
<meta name="description" content="Documentation of Coq module Qcert.Data.Operators.BinaryOperators" />
<link href="coq2html.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="coq2html.js"> </script>
</head>
<body onload="hideAll('proofscript')">
<h1 class="title">Module Qcert.Data.Operators.BinaryOperators</h1>
<div class="coq">
<br/>
<span class="kwd">Require</span> <span class="kwd">Import</span> <span class="id"><a href="http://coq.inria.fr/library/Coq.Classes.EquivDec.html">EquivDec</a></span>.<br/>
<span class="kwd">Require</span> <span class="kwd">Import</span> <span class="id"><a href="http://coq.inria.fr/library/Coq.Strings.String.html">String</a></span>.<br/>
<span class="kwd">Require</span> <span class="kwd">Import</span> <span class="id"><a href="Qcert.Utils.Utils.html">Utils</a></span>.<br/>
<span class="kwd">Require</span> <span class="kwd">Import</span> <span class="id"><a href="Qcert.Data.Model.ForeignData.html">ForeignData</a></span>.<br/>
<span class="kwd">Require</span> <span class="kwd">Import</span> <span class="id"><a href="Qcert.Data.Operators.ForeignOperators.html">ForeignOperators</a></span>.<br/>
<br/>
<span class="kwd">Section</span> <span class="id"><a name="BinaryOperators">BinaryOperators</a></span>.<br/>
<span class="kwd">Context</span> {<span class="id">fdata</span>:<span class="id"><a href="Qcert.Data.Model.ForeignData.html#foreign_data">foreign_data</a></span>}.<br/>
<span class="kwd">Context</span> {<span class="id">foperators</span>:<span class="id"><a href="Qcert.Data.Operators.ForeignOperators.html#foreign_operators">foreign_operators</a></span>}.<br/>
<br/>
<span class="kwd">Inductive</span> <span class="id"><a name="nat_arith_binary_op">nat_arith_binary_op</a></span><br/>
:= <span class="id"><a name="NatPlus">NatPlus</a></span> <span class="docright">(* addition *)</span><br/>
| <span class="id"><a name="NatMinus">NatMinus</a></span> <span class="docright">(* substraction *)</span><br/>
| <span class="id"><a name="NatMult">NatMult</a></span> <span class="docright">(* multiplication *)</span><br/>
| <span class="id"><a name="NatDiv">NatDiv</a></span> <span class="docright">(* division *)</span><br/>
| <span class="id"><a name="NatRem">NatRem</a></span> <span class="docright">(* remainder *)</span><br/>
| <span class="id"><a name="NatMin">NatMin</a></span> <span class="docright">(* smallest *)</span><br/>
| <span class="id"><a name="NatMax">NatMax</a></span>. <span class="docright">(* biggest *)</span><br/>
<br/>
<span class="kwd">Inductive</span> <span class="id"><a name="float_arith_binary_op">float_arith_binary_op</a></span><br/>
:=<br/>
| <span class="id"><a name="FloatPlus">FloatPlus</a></span> <span class="docright">(* addition *)</span><br/>
| <span class="id"><a name="FloatMinus">FloatMinus</a></span> <span class="docright">(* substraction *)</span><br/>
| <span class="id"><a name="FloatMult">FloatMult</a></span> <span class="docright">(* multiplication *)</span><br/>
| <span class="id"><a name="FloatDiv">FloatDiv</a></span> <span class="docright">(* division *)</span><br/>
| <span class="id"><a name="FloatPow">FloatPow</a></span> <span class="docright">(* exponent *)</span><br/>
| <span class="id"><a name="FloatMin">FloatMin</a></span> <span class="docright">(* min *)</span><br/>
| <span class="id"><a name="FloatMax">FloatMax</a></span> <span class="docright">(* max *)</span><br/>
.<br/>
<br/>
<span class="kwd">Inductive</span> <span class="id"><a name="float_compare_binary_op">float_compare_binary_op</a></span><br/>
:=<br/>
| <span class="id"><a name="FloatLt">FloatLt</a></span> <span class="docright">(* less than *)</span><br/>
| <span class="id"><a name="FloatLe">FloatLe</a></span> <span class="docright">(* less than or equal to *)</span><br/>
| <span class="id"><a name="FloatGt">FloatGt</a></span> <span class="docright">(* greater than *)</span><br/>
| <span class="id"><a name="FloatGe">FloatGe</a></span> <span class="docright">(* greater than or equal to *)</span><br/>
.<br/>
<br/>
<span class="kwd">Inductive</span> <span class="id"><a name="binary_op">binary_op</a></span> : <span class="kwd">Set</span> :=<br/>
| <span class="id"><a name="OpEqual">OpEqual</a></span> : <span class="id">binary_op</span> <span class="docright">(* equality *)</span><br/>
| <span class="id"><a name="OpRecConcat">OpRecConcat</a></span> : <span class="id">binary_op</span> <span class="docright">(* record concatenation *)</span><br/>
| <span class="id"><a name="OpRecMerge">OpRecMerge</a></span> : <span class="id">binary_op</span> <span class="docright">(* record merge-concatenation *)</span><br/>
| <span class="id"><a name="OpAnd">OpAnd</a></span> : <span class="id">binary_op</span> <span class="docright">(* boolean conjunction *)</span><br/>
| <span class="id"><a name="OpOr">OpOr</a></span> : <span class="id">binary_op</span> <span class="docright">(* boolean disjunction *)</span><br/>
| <span class="id"><a name="OpLt">OpLt</a></span> : <span class="id">binary_op</span> <span class="docright">(* less than *)</span><br/>
| <span class="id"><a name="OpLe">OpLe</a></span> : <span class="id">binary_op</span> <span class="docright">(* less than or equal to *)</span><br/>
| <span class="id"><a name="OpBagUnion">OpBagUnion</a></span> : <span class="id">binary_op</span> <span class="docright">(* bag union *)</span><br/>
| <span class="id"><a name="OpBagDiff">OpBagDiff</a></span> : <span class="id">binary_op</span> <span class="docright">(* bag difference *)</span><br/>
| <span class="id"><a name="OpBagMin">OpBagMin</a></span> : <span class="id">binary_op</span> <span class="docright">(* bag min *)</span><br/>
| <span class="id"><a name="OpBagMax">OpBagMax</a></span> : <span class="id">binary_op</span> <span class="docright">(* bag max *)</span><br/>
| <span class="id"><a name="OpBagNth">OpBagNth</a></span> : <span class="id">binary_op</span> <span class="docright">(* random element in a bag *)</span><br/>
| <span class="id"><a name="OpContains">OpContains</a></span> : <span class="id">binary_op</span> <span class="docright">(* is an element in a collection *)</span><br/>
| <span class="id"><a name="OpStringConcat">OpStringConcat</a></span> : <span class="id">binary_op</span> <span class="docright">(* string concatenation *)</span><br/>
| <span class="id"><a name="OpStringJoin">OpStringJoin</a></span> : <span class="id">binary_op</span> <span class="docright">(* string join *)</span><br/>
| <span class="id"><a name="OpNatBinary">OpNatBinary</a></span> : <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#nat_arith_binary_op">nat_arith_binary_op</a></span> -> <span class="id">binary_op</span> <span class="docright">(* arithmetic operators on integers *)</span><br/>
| <span class="id"><a name="OpFloatBinary">OpFloatBinary</a></span> : <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_arith_binary_op">float_arith_binary_op</a></span> -> <span class="id">binary_op</span> <span class="docright">(* arithmetic operators on floats *)</span><br/>
| <span class="id"><a name="OpFloatCompare">OpFloatCompare</a></span> : <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_compare_binary_op">float_compare_binary_op</a></span> -> <span class="id">binary_op</span> <span class="docright">(* comparison operators on floats *)</span><br/>
| <span class="id"><a name="OpForeignBinary">OpForeignBinary</a></span><br/>
(<span class="id">fb</span> : <span class="id"><a href="Qcert.Data.Operators.ForeignOperators.html#foreign_operators_binary">foreign_operators_binary</a></span>) : <span class="id">binary_op</span> <span class="docright">(* foreign binary operators *)</span><br/>
.<br/>
<br/>
<span class="kwd">Global</span> <span class="kwd">Instance</span> <span class="id"><a name="nat_arith_binary_op_eqdec">nat_arith_binary_op_eqdec</a></span> : <span class="id"><a href="http://coq.inria.fr/library/Coq.Classes.EquivDec.html#EqDec">EqDec</a></span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#nat_arith_binary_op">nat_arith_binary_op</a></span> <span class="id"><a href="http://coq.inria.fr/library/Coq.Init.Logic.html#eq">eq</a></span>.<br/>
<div class="toggleproof" onclick="toggleDisplay('proof1763')">Proof.</div>
<div class="proofscript" id="proof1763">
<span class="id">change</span> (<span class="kwd">forall</span> <span class="id">x</span> <span class="id">y</span> : <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#nat_arith_binary_op">nat_arith_binary_op</a></span>, {<span class="id">x</span> = <span class="id">y</span>} + {<span class="id">x</span> <> <span class="id">y</span>}).<br/>
<span class="id">decide</span> <span class="id">equality</span>.<br/>
Defined.</div>
<br/>
<span class="kwd">Global</span> <span class="kwd">Instance</span> <span class="id"><a name="float_arith_binary_op_eqdec">float_arith_binary_op_eqdec</a></span> : <span class="id"><a href="http://coq.inria.fr/library/Coq.Classes.EquivDec.html#EqDec">EqDec</a></span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_arith_binary_op">float_arith_binary_op</a></span> <span class="id"><a href="http://coq.inria.fr/library/Coq.Init.Logic.html#eq">eq</a></span>.<br/>
<div class="toggleproof" onclick="toggleDisplay('proof1764')">Proof.</div>
<div class="proofscript" id="proof1764">
<span class="id">change</span> (<span class="kwd">forall</span> <span class="id">x</span> <span class="id">y</span> : <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_arith_binary_op">float_arith_binary_op</a></span>, {<span class="id">x</span> = <span class="id">y</span>} + {<span class="id">x</span> <> <span class="id">y</span>}).<br/>
<span class="id">decide</span> <span class="id">equality</span>.<br/>
Defined.</div>
<br/>
<span class="kwd">Global</span> <span class="kwd">Instance</span> <span class="id"><a name="float_compare_binary_op_eqdec">float_compare_binary_op_eqdec</a></span> : <span class="id"><a href="http://coq.inria.fr/library/Coq.Classes.EquivDec.html#EqDec">EqDec</a></span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_compare_binary_op">float_compare_binary_op</a></span> <span class="id"><a href="http://coq.inria.fr/library/Coq.Init.Logic.html#eq">eq</a></span>.<br/>
<div class="toggleproof" onclick="toggleDisplay('proof1765')">Proof.</div>
<div class="proofscript" id="proof1765">
<span class="id">change</span> (<span class="kwd">forall</span> <span class="id">x</span> <span class="id">y</span> : <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_compare_binary_op">float_compare_binary_op</a></span>, {<span class="id">x</span> = <span class="id">y</span>} + {<span class="id">x</span> <> <span class="id">y</span>}).<br/>
<span class="id">decide</span> <span class="id">equality</span>.<br/>
Defined.</div>
<br/>
<span class="kwd">Global</span> <span class="kwd">Instance</span> <span class="id"><a name="binary_op_eqdec">binary_op_eqdec</a></span> : <span class="id"><a href="http://coq.inria.fr/library/Coq.Classes.EquivDec.html#EqDec">EqDec</a></span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#binary_op">binary_op</a></span> <span class="id"><a href="http://coq.inria.fr/library/Coq.Init.Logic.html#eq">eq</a></span>.<br/>
<div class="toggleproof" onclick="toggleDisplay('proof1766')">Proof.</div>
<div class="proofscript" id="proof1766">
<span class="id">change</span> (<span class="kwd">forall</span> <span class="id">x</span> <span class="id">y</span> : <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#binary_op">binary_op</a></span>, {<span class="id">x</span> = <span class="id">y</span>} + {<span class="id">x</span> <> <span class="id">y</span>}).<br/>
<span class="id">decide</span> <span class="id">equality</span>.<br/>
<span class="tactic">apply</span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#nat_arith_binary_op_eqdec">nat_arith_binary_op_eqdec</a></span>.<br/>
<span class="tactic">apply</span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_arith_binary_op_eqdec">float_arith_binary_op_eqdec</a></span>.<br/>
<span class="tactic">apply</span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_compare_binary_op_eqdec">float_compare_binary_op_eqdec</a></span>.<br/>
<span class="tactic">apply</span> <span class="id"><a href="Qcert.Data.Operators.ForeignOperators.html#foreign_operators_binary_dec">foreign_operators_binary_dec</a></span>.<br/>
Defined.</div>
<br/>
<span class="kwd">Local</span> <span class="kwd">Open</span> <span class="kwd">Scope</span> <span class="id">string</span>.<br/>
<br/>
<span class="kwd">Global</span> <span class="kwd">Instance</span> <span class="id"><a name="ToString_nat_binary_op">ToString_nat_binary_op</a></span> : <span class="id"><a href="Qcert.Utils.CoqLibAdd.html#ToString">ToString</a></span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#nat_arith_binary_op">nat_arith_binary_op</a></span><br/>
:= {<span class="id"><a href="Qcert.Utils.CoqLibAdd.html#toString">toString</a></span> :=<br/>
<span class="kwd">fun</span> (<span class="id">op</span>:<span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#nat_arith_binary_op">nat_arith_binary_op</a></span>) =><br/>
<span class="kwd">match</span> <span class="id">op</span> <span class="kwd">with</span><br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#NatPlus">NatPlus</a></span> => "<span class="id">NatPlus</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#NatMinus">NatMinus</a></span> => "<span class="id">NatMinus</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#NatMult">NatMult</a></span> => "<span class="id">NatMult</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#NatMin">NatMin</a></span> => "<span class="id">NatMin</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#NatMax">NatMax</a></span> => "<span class="id">NatMax</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#NatDiv">NatDiv</a></span> => "<span class="id">NatDiv</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#NatRem">NatRem</a></span> => "<span class="id">NatRem</span>"<br/>
<span class="kwd">end</span><br/>
}.<br/>
<br/>
<span class="kwd">Global</span> <span class="kwd">Instance</span> <span class="id"><a name="ToString_float_arith_binary_op">ToString_float_arith_binary_op</a></span> : <span class="id"><a href="Qcert.Utils.CoqLibAdd.html#ToString">ToString</a></span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_arith_binary_op">float_arith_binary_op</a></span><br/>
:= {<span class="id"><a href="Qcert.Utils.CoqLibAdd.html#toString">toString</a></span> :=<br/>
<span class="kwd">fun</span> (<span class="id">op</span>:<span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_arith_binary_op">float_arith_binary_op</a></span>) =><br/>
<span class="kwd">match</span> <span class="id">op</span> <span class="kwd">with</span><br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatPlus">FloatPlus</a></span> => "<span class="id">FloatPlus</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatMinus">FloatMinus</a></span> => "<span class="id">FloatMinus</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatMult">FloatMult</a></span> => "<span class="id">FloatMult</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatDiv">FloatDiv</a></span> => "<span class="id">FloatDiv</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatPow">FloatPow</a></span> => "<span class="id">FloatPow</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatMin">FloatMin</a></span> => "<span class="id">FloatMin</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatMax">FloatMax</a></span> => "<span class="id">FloatMax</span>"<br/>
<span class="kwd">end</span><br/>
}.<br/>
<br/>
<span class="kwd">Global</span> <span class="kwd">Instance</span> <span class="id"><a name="ToString_float_compare_binary_op">ToString_float_compare_binary_op</a></span> : <span class="id"><a href="Qcert.Utils.CoqLibAdd.html#ToString">ToString</a></span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_compare_binary_op">float_compare_binary_op</a></span><br/>
:= {<span class="id"><a href="Qcert.Utils.CoqLibAdd.html#toString">toString</a></span> :=<br/>
<span class="kwd">fun</span> (<span class="id">op</span>:<span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#float_compare_binary_op">float_compare_binary_op</a></span>) =><br/>
<span class="kwd">match</span> <span class="id">op</span> <span class="kwd">with</span><br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatLt">FloatLt</a></span> => "<span class="id">FloatLt</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatLe">FloatLe</a></span> => "<span class="id">FloatLe</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatGt">FloatGt</a></span> => "<span class="id">FloatGt</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#FloatGe">FloatGe</a></span> => "<span class="id">FloatGe</span>"<br/>
<span class="kwd">end</span><br/>
}.<br/>
<br/>
<span class="kwd">Global</span> <span class="kwd">Instance</span> <span class="id"><a name="ToString_binary_op">ToString_binary_op</a></span> : <span class="id"><a href="Qcert.Utils.CoqLibAdd.html#ToString">ToString</a></span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#binary_op">binary_op</a></span><br/>
:= {<span class="id"><a href="Qcert.Utils.CoqLibAdd.html#toString">toString</a></span> :=<br/>
<span class="kwd">fun</span> (<span class="id">op</span>:<span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#binary_op">binary_op</a></span>) =><br/>
<span class="kwd">match</span> <span class="id">op</span> <span class="kwd">with</span><br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpEqual">OpEqual</a></span> => "<span class="id">OpEqual</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpRecConcat">OpRecConcat</a></span> => "<span class="id">OpRecConcat</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpRecMerge">OpRecMerge</a></span> => "<span class="id">OpRecMerge</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpAnd">OpAnd</a></span> => "<span class="id">OpAnd</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpOr">OpOr</a></span> => "<span class="id">OpOr</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpLt">OpLt</a></span> => "<span class="id">OpLt</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpLe">OpLe</a></span> => "<span class="id">OpLe</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpBagUnion">OpBagUnion</a></span> => "<span class="id">OpBagUnion</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpBagDiff">OpBagDiff</a></span> => "<span class="id">OpBagDiff</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpBagMin">OpBagMin</a></span> => "<span class="id">OpBagMin</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpBagMax">OpBagMax</a></span> => "<span class="id">OpBagMax</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpBagNth">OpBagNth</a></span> => "<span class="id">OpBagNth</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpContains">OpContains</a></span> => "<span class="id">OpContains</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpStringConcat">OpStringConcat</a></span> => "<span class="id">OpStringConcat</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpStringJoin">OpStringJoin</a></span> => "<span class="id">OpStringJoin</span>"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpNatBinary">OpNatBinary</a></span> <span class="id">aop</span> => "(<span class="id">OpNatBinary</span> " ++ (<span class="id"><a href="Qcert.Utils.CoqLibAdd.html#toString">toString</a></span> <span class="id">aop</span>) ++ ")"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpFloatBinary">OpFloatBinary</a></span> <span class="id">aop</span> => "(<span class="id">OpFloatBinary</span> " ++ (<span class="id"><a href="Qcert.Utils.CoqLibAdd.html#toString">toString</a></span> <span class="id">aop</span>) ++ ")"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpFloatCompare">OpFloatCompare</a></span> <span class="id">aop</span> => "(<span class="id">OpFloatCompare</span> " ++ (<span class="id"><a href="Qcert.Utils.CoqLibAdd.html#toString">toString</a></span> <span class="id">aop</span>) ++ ")"<br/>
| <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#OpForeignBinary">OpForeignBinary</a></span> <span class="id">fb</span> => <span class="id"><a href="Qcert.Utils.CoqLibAdd.html#toString">toString</a></span> <span class="id">fb</span><br/>
<span class="kwd">end</span><br/>
}.<br/>
<br/>
<span class="kwd">End</span> <span class="id"><a href="Qcert.Data.Operators.BinaryOperators.html#BinaryOperators">BinaryOperators</a></span>.<br/>
<br/>
<span class="kwd">Tactic</span> <span class="kwd">Notation</span> "<span class="id">binary_op_cases</span>" <span class="id">tactic</span>(<span class="id">first</span>) <span class="id">ident</span>(<span class="id">c</span>) :=<br/>
<span class="id">first</span>;<br/>
[ <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpEqual</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpRecConcat</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpRecMerge</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpAnd</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpOr</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpLt</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpLe</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpBagUnion</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpBagDiff</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpBagMin</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpBagMax</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpBagNth</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpContains</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpStringConcat</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpStringJoin</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpNatBinary</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpFloatBinary</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpFloatCompare</span>"%<span class="id">string</span><br/>
| <span class="id">Case_aux</span> <span class="id">c</span> "<span class="id">OpForeignBinary</span>"%<span class="id">string</span>].<br/>
<br/>
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