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Showing content from http://en.cppreference.com/w/cpp/error/../utility/format/../../locale/numpunct/truefalsename.html below:

std::numpunct<CharT>::truename, do_truename, falsename, do_falsename - cppreference.com

public:
string_type truename() const;

public:
string_type falsename() const;

protected:
virtual string_type do_truename() const;

protected:
virtual string_type do_falsename() const;

1,2) Public member function, calls the member function do_truename and do_falsename of the most derived class respectively.

3) Returns the string to be used as the representation of the boolean value true.

4) Returns the string to be used as the representation of the boolean value false.

1,3) The object of type string_type to use as the representation of true. The standard specializations of std::numpunct return "true" and L"true".

2,4) The object of type string_type to use as the representation of false. The standard specializations of std::numpunct return "false" and L"false".

#include <iomanip>
#include <iostream>
#include <locale>
 
struct custom_tf : std::numpunct<char>
{
    std::string do_truename()  const { return {'t'}; }
    std::string do_falsename() const { return {'f'}; }
};
 
int main()
{
    std::cout << std::boolalpha;
 
    // default boolalpha output
    std::cout << "Default locale,\n"
                 "  boolalpha  true: " << true << "\n"
                 "  boolalpha false: " << false << "\n\n";
 
    // with custom_tf applied to locale
    std::cout.imbue(std::locale(std::cout.getloc(), new custom_tf));
    std::cout << "Locale with modified numpunct,\n"
                 "  boolalpha  true: " << true << "\n"
                 "  boolalpha false: " << false << '\n';
}

Output:

Default locale,
  boolalpha  true: true
  boolalpha false: false
 
Locale with modified numpunct,
  boolalpha  true: t
  boolalpha false: f

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