1 files changed, 11 insertions, 21 deletions
diff --git a/source/know/concept/holomorphic-function/index.md b/source/know/concept/holomorphic-function/index.md
index 5dde240..cf252c0 100644
--- a/source/know/concept/holomorphic-function/index.md
+++ b/source/know/concept/holomorphic-function/index.md
@@ -61,6 +61,7 @@ and imaginary parts satisfy these equations. This gives an idea of how
 strict the criteria are to qualify as holomorphic.
 
 
+
 ## Integration formulas
 
 Holomorphic functions satisfy **Cauchy's integral theorem**, which states
@@ -73,11 +74,8 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-<div class="accordion">
-<input type="checkbox" id="proof-int-theorem"/>
-<label for="proof-int-theorem">Proof</label>
-<div class="hidden" markdown="1">
-<label for="proof-int-theorem">Proof.</label>
+
+{% include proof/start.html id="proof-int-theorem" -%}
 Just like before, we decompose $$f(z)$$ into its real and imaginary parts:
 
 $$\begin{aligned}
@@ -97,8 +95,8 @@ $$\begin{aligned}
 
 Since $$f(z)$$ is holomorphic, $$u$$ and $$v$$ satisfy the Cauchy-Riemann
 equations, such that the integrands disappear and the final result is zero.
-</div>
-</div>
+{% include proof/end.html id="proof-int-theorem" %}
+
 
 An interesting consequence is **Cauchy's integral formula**, which
 states that the value of $$f(z)$$ at an arbitrary point $$z_0$$ is
@@ -110,11 +108,8 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-<div class="accordion">
-<input type="checkbox" id="proof-int-formula"/>
-<label for="proof-int-formula">Proof</label>
-<div class="hidden" markdown="1">
-<label for="proof-int-formula">Proof.</label>
+
+{% include proof/start.html id="proof-int-formula" -%}
 Thanks to the integral theorem, we know that the shape and size
 of $$C$$ is irrelevant. Therefore we choose it to be a circle with radius $$r$$,
 such that the integration variable becomes $$z = z_0 + r e^{i \theta}$$. Then
@@ -133,9 +128,8 @@ $$\begin{aligned}
     &= \frac{f(z_0)}{2 \pi} \int_0^{2 \pi} \dd{\theta}
     = f(z_0)
 \end{aligned}$$
+{% include proof/end.html id="proof-int-formula" %}
 
-</div>
-</div>
 
 Similarly, **Cauchy's differentiation formula**,
 or **Cauchy's integral formula for derivatives**
@@ -149,11 +143,8 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-<div class="accordion">
-<input type="checkbox" id="proof-diff-formula"/>
-<label for="proof-diff-formula">Proof</label>
-<div class="hidden" markdown="1">
-<label for="proof-diff-formula">Proof.</label>
+
+{% include proof/start.html id="proof-dv-formula" -%}
 By definition, the first derivative $$f'(z)$$ of a
 holomorphic function exists and is:
 
@@ -186,6 +177,5 @@ $$\begin{aligned}
 
 Since the second-order derivative $$f''(z)$$ is simply the derivative of $$f'(z)$$,
 this proof works inductively for all higher orders $$n$$.
-</div>
-</div>
+{% include proof/end.html id="proof-dv-formula" %}