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Showing content from https://en.cppreference.com/w/cpp/language/../container/unordered_multimap/end.html below:

std::unordered_multimap<Key,T,Hash,KeyEqual,Allocator>::end, std::unordered_multimap<Key,T,Hash,KeyEqual,Allocator>::cend - cppreference.com

iterator end() noexcept;

const_iterator end() const noexcept;

const_iterator cend() const noexcept;

Returns an iterator past the last element of *this.

This returned iterator only acts as a sentinel. It is not guaranteed to be dereferenceable.

Iterator past the last element.

Constant.

#include <algorithm>
#include <cassert>
#include <iostream>
#include <string>
#include <utility>
#include <unordered_map>
 
int main()
{
    auto show_node = [](const std::pair<std::string, std::string>& node)
    {
        std::cout << node.first << " : " << node.second << '\n';
    };
 
    std::unordered_multimap<std::string, std::string> lemmas;
    assert(lemmas.begin() == lemmas.end());
    assert(lemmas.cbegin() == lemmas.cend());
 
    lemmas.insert({ "1. ∀x ∈ N ∃y ∈ N", "x ≤ y" });
    show_node(*lemmas.cbegin());
    assert(lemmas.begin() != lemmas.end());
    assert(lemmas.cbegin() != lemmas.cend());
 
    lemmas.begin()->second = "x < y";
    show_node(*lemmas.cbegin());
 
    lemmas.insert({ "2. ∀x, y ∈ N    ", "x = y V x ≠ y" });
    show_node(*lemmas.cbegin());
 
    lemmas.insert({ "3. ∀x ∈ N ∃y ∈ N", "y = x + 1" });
    show_node(*lemmas.cbegin());
 
    std::cout << "Lemmas: \n";
    std::for_each(lemmas.cbegin(), lemmas.cend(), [&](const auto& n)
    {
        show_node(n);
    });
    std::cout << '\n';
}

Possible output:

1. ∀x ∈ N ∃y ∈ N : x ≤ y
1. ∀x ∈ N ∃y ∈ N : x < y
2. ∀x, y ∈ N     : x = y V x ≠ y
3. ∀x ∈ N ∃y ∈ N : y = x + 1
Lemmas: 
3. ∀x ∈ N ∃y ∈ N : y = x + 1
1. ∀x ∈ N ∃y ∈ N : x < y
2. ∀x, y ∈ N     : x = y V x ≠ y

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