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<p class='location'>Trait Zero</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#required-methods">Required Methods</a><div class="sidebar-links"><a href="#tymethod.zero">zero</a><a href="#tymethod.is_zero">is_zero</a></div><a class="sidebar-title" href="#foreign-impls">Implementations on Foreign Types</a><div class="sidebar-links"><a href="#impl-Zero">u64</a><a href="#impl-Zero">f64</a><a href="#impl-Zero">Wrapping<T></a><a href="#impl-Zero">usize</a><a href="#impl-Zero">u32</a><a href="#impl-Zero">u8</a><a href="#impl-Zero">i8</a><a href="#impl-Zero">i32</a><a href="#impl-Zero">f32</a><a href="#impl-Zero">u16</a><a href="#impl-Zero">i64</a><a href="#impl-Zero">isize</a><a href="#impl-Zero">i16</a></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='../index.html'>num_traits</a>::<wbr><a href='index.html'>identities</a></p><script>window.sidebarCurrent = {name: 'Zero', ty: 'trait', relpath: ''};</script><script defer src="sidebar-items.js"></script></div>
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<h1 class='fqn'><span class='in-band'>Trait <a href='../index.html'>num_traits</a>::<wbr><a href='index.html'>identities</a>::<wbr><a class="trait" href=''>Zero</a></span><span class='out-of-band'><span id='render-detail'>
<a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">
[<span class='inner'>−</span>]
</a>
</span><a class='srclink' href='../../src/num_traits/identities.rs.html#5-26' title='goto source code'>[src]</a></span></h1>
<pre class='rust trait'>pub trait Zero: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a><Self, Output = Self> {
fn <a href='#tymethod.zero' class='fnname'>zero</a>() -> Self;
<div class='item-spacer'></div> fn <a href='#tymethod.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>;
}</pre><div class='docblock'><p>Defines an additive identity element for <code>Self</code>.</p>
</div>
<h2 id='required-methods' class='small-section-header'>
Required Methods<a href='#required-methods' class='anchor'></a>
</h2>
<div class='methods'>
<h3 id='tymethod.zero' class='method'><span id='zero.v' class='invisible'><code>fn <a href='#tymethod.zero' class='fnname'>zero</a>() -> Self</code></span></h3><div class='docblock'><p>Returns the additive identity element of <code>Self</code>, <code>0</code>.</p>
<h1 id="laws" class="section-header"><a href="#laws">Laws</a></h1>
<pre><code class="language-{.text}">a + 0 = a ∀ a ∈ Self
0 + a = a ∀ a ∈ Self
</code></pre>
<h1 id="purity" class="section-header"><a href="#purity">Purity</a></h1>
<p>This function should return the same result at all times regardless of
external mutable state, for example values stored in TLS or in
<code>static mut</code>s.</p>
</div><h3 id='tymethod.is_zero' class='method'><span id='is_zero.v' class='invisible'><code>fn <a href='#tymethod.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span></h3><div class='docblock'><p>Returns <code>true</code> if <code>self</code> is equal to the additive identity.</p>
</div></div>
<h2 id='foreign-impls' class='small-section-header'>
Implementations on Foreign Types<a href='#foreign-impls' class='anchor'></a>
</h2>
<h3 id='impl-Zero' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a></code><a href='#impl-Zero' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero' class="method"><span id='zero.v-1' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero' class="method"><span id='is_zero.v-1' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-1' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code><a href='#impl-Zero-1' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-1' class="method"><span id='zero.v-2' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-1' class="method"><span id='is_zero.v-2' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-2' class='impl'><span class='in-band'><code>impl<T> <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T> <span class="where fmt-newline">where<br> T: <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a>,<br> <a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a><<a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T>>,<br> <<a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T> as <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a><<a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T>>>::<a class="type" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" title="type core::ops::arith::Add::Output">Output</a> == <a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T>, </span></code><a href='#impl-Zero-2' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#54-61' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.is_zero-2' class="method"><span id='is_zero.v-3' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#55-57' title='goto source code'>[src]</a></span></h4>
<h4 id='method.zero-2' class="method"><span id='zero.v-3' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#58-60' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-3' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code><a href='#impl-Zero-3' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-3' class="method"><span id='zero.v-4' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-3' class="method"><span id='is_zero.v-4' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-4' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code><a href='#impl-Zero-4' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-4' class="method"><span id='zero.v-5' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-4' class="method"><span id='is_zero.v-5' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-5' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></code><a href='#impl-Zero-5' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-5' class="method"><span id='zero.v-6' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-5' class="method"><span id='is_zero.v-6' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-6' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a></code><a href='#impl-Zero-6' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-6' class="method"><span id='zero.v-7' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-6' class="method"><span id='is_zero.v-7' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-7' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a></code><a href='#impl-Zero-7' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-7' class="method"><span id='zero.v-8' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-7' class="method"><span id='is_zero.v-8' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-8' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code><a href='#impl-Zero-8' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-8' class="method"><span id='zero.v-9' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-8' class="method"><span id='is_zero.v-9' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-9' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a></code><a href='#impl-Zero-9' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-9' class="method"><span id='zero.v-10' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-9' class="method"><span id='is_zero.v-10' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-10' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a></code><a href='#impl-Zero-10' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-10' class="method"><span id='zero.v-11' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-10' class="method"><span id='is_zero.v-11' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-11' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a></code><a href='#impl-Zero-11' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-11' class="method"><span id='zero.v-12' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-11' class="method"><span id='is_zero.v-12' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
</div></span><h3 id='impl-Zero-12' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a></code><a href='#impl-Zero-12' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#30-35' title='goto source code'>[src]</a></span></h3>
<span class='docblock autohide'><div class='impl-items'><h4 id='method.zero-12' class="method"><span id='zero.v-13' class='invisible'><code>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#32' title='goto source code'>[src]</a></span></h4>
<h4 id='method.is_zero-12' class="method"><span id='is_zero.v-13' class='invisible'><code>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#34' title='goto source code'>[src]</a></span></h4>
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