Javascript – Is JS function executed when JS writes innerHTML with said function?

I have this JS code that changes the innerHTML of a div. This innerHTML contains the call of a JS function. The definition of the function is also contained the in the same .js file. Will the JS function validate_login_password be executed after the changed innerHTML is done?

function startup(mode) {
  return function () {
    if (mode == "login") {
      document.getElementById("main").innerHTML = `                                                                                                                               
<div class="grid-auth">                                                                                                                                                           
<div class="item3">                                                                                                                                                               
<form action="/login.pl">                                                                                                                                                         
<label for="username">Nome de usuário</label>                                                                                                                                     
<input type="text" id="login_username" name="login_username" required>                                                                                                            
<label for="login_password">Senha</label>                                                                                                                                         
<input type="password" id="login_password" name="login_password" required>                                                                                                        
<input type="submit" value="Iniciar sessão">                                                                                                                                      
</form>                                                                                                                                                                           
</div>                                                                                                                                                                            
<div class="item4">                                                                                                                                                               
<form action="/login.pl">                                                                                                                                                         
<label for="username">Nome completo</label>                                                                                                                                       
<input type="text" id="name" name="name" required>                                                                                                                                
<label for="username">Nome de usuário</label>                                                                                                                                     
<input type="text" id="signup_username" name="signup_username" required>                                                                                                          
<label for="email">Email</label>                                                                                                                                                  
<input type="email" id="email" name="email" required>                                                                                                                             
<label for="signup_password">Senha</label>                                                                                                                                        
<input type="password" id="signup_password" name="signup_password" pattern="(?=.*d)(?=.*[a-z])(?=.*[A-Z]).{8,}.{?=.*[!@#$%^&.?]" title="Deve conter pelo menos um número, uma le
tra maiúscula, uma letra minúscila, um dos símbolos !?@#$%^&. e pelo menos 8 caracteres" required>                                                                                
<input type="submit" value="Criar conta">                                                                                                                                         
</form>                                                                                                                                                                           
</div>                                                                                                                                                                            
<div class="item5" id="message">                                                                                                                                                  
<h3>Password must contain the following:</h3>                                                                                                                                     
<p id="letter" class="invalid">Uma letra <b>minúscula</b></p>                                                                                                                     
<p id="capital" class="invalid">Uma letra <b>maiúscula</b></p>                                                                                                                    
<p id="number" class="invalid">Um <b>número</b></p>                                                                                                                               
<p id="symbol" class="invalid">Um <b>símbolo</b></p>                                                                                                                              
<p id="length" class="invalid">Mínimo <b>8 caracteres</b></p>                                                                                                                     
</div>                                                                                                                                                                            
</div>                                                                                                                                                                            
<script>validate_signup_password()</script>`;
    } else {
      document.getElementById("main").innerHTML = "<h1>Olá mundo</h1>";
    }
  }
}

function validate_signup_password () {
 ...
}

Thanks!