C++ named requirements: SequenceContainer
From cppreference.com
A SequenceContainer is a Container that stores objects of the same type in a linear arrangement.
Contents 
[edit] Requirements
Legend  
X

A sequence container class 
T

The element type of X

a  A value of type X

u  The name of a declared variable 
A

The allocator type of X :

i, j  LegacyInputIterators such that [ i, j) is a valid range and that the iterators refer to elements implicitly convertible to value_type

rg (since C++23)  A value of a type R that models containercompatiblerange<T>

il (since C++11)  An object of type std::initializer_list<value_type> 
n  A value of type X::size_type

p  A valid const iterator into a 
q  A valid dereferenceable const iterator into a 
q1, q2  Two const iterators into a such that [ q1, q2) is a valid range

t  An lvalue or const rvalue(since C++11) of type X::value_type

rv (since C++11)  A nonconst rvalue of type X::value_type

Args (since C++11)

A template parameter pack 
args (since C++11)  A function parameter pack with the pattern Arg&&

The type X
satisfies SequenceContainer if
 The type
X
satisfies Container, and  The following statements and expressions must be valid and have their specified effects for all sequence containers except std::array (see notes)(since C++11):
Statement  Effects  Conditions^{[1]}  

X u(n, t)  Constructs the sequence container holding n copies of t.  Pre  T is CopyInsertable into X .
 
Post  std::distance(u.begin(), u.end()) == n is true.
 
X u(i, j)  Constructs the sequence container equal, elementwise, to the range [ i, j) .

Pre  T is EmplaceConstructible from *i into X .
 
Post  std::distance(u.begin(), u.end()) == std::distance(i, j) is true.
 
Expression  Type  Effects  Conditions  
X(std::from_range, rg) (since C++23) 
X

Constructs the sequence container equal, elementwise, to the range rg.  Pre  T is EmplaceConstructible into X from *ranges::begin(rg).

Post 
 
X(il) (since C++11) 
X

Equivalent to X(il.begin(), il.end()).

No explicit requirement  
a = il (since C++11) 
X&

Assigns the range represented by il into a.^{[2]}  Pre  T is CopyInsertable and CopyAssignable.

Post  Existing elements of a are destroyed or assigned to.  
a.emplace(p, args) (since C++11) 
iterator

Insert an object of type T , constructed with std::forward<Args>(args) before p.

Pre  T is EmplaceConstructible.

Post  The returned iterator points at the element constructed from args into a.  
a.insert(p, t)  iterator

Inserts a copy of t before p.  Pre  T is CopyInsertable.

Post  The returned iterator points at the copy of t inserted into a.  
a.insert(p, rv) (since C++11) 
iterator

Inserts a copy of rv before p, possibly using move semantics.  Pre  T is MoveInsertable.

Post  The returned iterator points at the copy of rv inserted into a.  
a.insert(p, n, t)  iterator

Inserts n copies of t before p.  Pre  T is CopyInsertable and CopyAssignable.

Post  The returned iterator points at the copy of the first element inserted into a or is p for n == 0.  
a.insert(p, i, j)  iterator

Inserts copies of elements in [ i, j) before p.

Pre  T is EmplaceConstructible and i and j are not in a.

Post 
 
a.insert_range(p, rg) (since C++23) 
iterator

Inserts copies of elements in rg before p.  Pre 

Post 
 
a.insert(p, il) (since C++11) 
iterator

Equivalent to a.insert(p, il.begin(), il.end()).

Pre  No explicit requirement 
Post  The returned iterator points at the copy of the first element inserted into a or is p if il is empty.  
a.erase(q)  iterator

Erases the element pointed to by q.  Pre  No explicit requirement 
Post  The returned iterator points at the element that was immediately following q prior to erasure, or a.end() if no such element exists.  
a.erase(q1, q2)  iterator

Erases elements in [ q1, q2) .

Pre  No explicit requirement 
Post  The returned iterator points at the element that was pointed by q2 prior to any erasure, or a.end() if no such element exists.  
a.clear()  void  Destroys all elements in a.  Pre  No explicit requirement 
Post 
 
a.assign(i, j)  void  Replaces elements in a with a copy of [ i, j) .

Pre 

Post  Each iterator in [ i, j) is dereferenced once.
 
a.assign_range(rg) (since C++23) 
void  Replaces elements in a with a copy of each element in rg.  Pre 

Post 
 
a.assign(il) (since C++11) 
void  Equivalent to a.assign(il.begin(), il.end()).

No explicit requirement  
a.assign(n, t)  void  Replaces elements in a with n copies of t.  Pre  T is CopyInsertable and CopyAssignable.

Post  No explicit requirement  
Notes  

[edit] Optional operations
The following expressions must be valid and have their specified effects for the sequence containers named, all operations except prepend_range
and append_range
(since C++23) take amortized constant time:
Expression  Type  Effects  Preconditions^{[1]}  Containers 

a.front()  reference , or

Returns *a.begin().  No explicit requirement  std::basic_string, std::array, std::deque, std::forward_list, std::list, std::vector 
a.back()  reference , or

Equivalent to auto tmp = a.end(); tmp; return *tmp;. 
No explicit requirement  std::basic_string, std::array, std::deque, std::list, std::vector 
a.emplace_front(args) (since C++11) 
void  Prepends a T constructed with std::forward<Args> (args)....

T is EmplaceConstructible into X from args.

std::deque, std::forward_list, std::list 
a.emplace_back(args) (since C++11) 
void  Appends a T constructed with std::forward<Args> (args)....

T is EmplaceConstructible into X from args.

std::deque, std::list, std::vector 
a.push_front(t)  void  Prepends a copy of t.  T is CopyInsertable into X .

std::deque, std::forward_list, std::list 
a.push_front(rv) (since C++11) 
void  Prepends a copy of rv, possibly using move semantics.  T is MoveInsertable into X .

std::deque, std::forward_list, std::list 
a.prepend_range(rg) (since C++23) 
void  Inserts^{[2]} copies of elements in rg before begin(), each iterator in rg is dereferenced once.  T is EmplaceConstructible into X from *ranges::begin(rg).

std::deque, std::forward_list, std::list 
a.push_back(t)  void  Appends a copy of t.  T is CopyInsertable into X .

std::basic_string, std::deque, std::list, std::vector 
a.push_back(rv) (since C++11) 
void  Appends a copy of rv, possibly using move semantics.  T is MoveInsertable into X .

std::basic_string, std::deque, std::list, std::vector 
a.append_range(rg) (since C++23) 
void  Inserts^{[2]} copies of elements in rg before end() dereferencing each iterator in rg once.  T is EmplaceConstructible into X from *ranges::begin(rg).

std::deque, std::list, std::vector 
a.pop_front()  void  Destroys the first element.  a.empty() is false.  std::deque, std::forward_list, std::list 
a.pop_back()  void  Destroys the last element.  a.empty() is false.  std::basic_string, std::deque, std::list, std::vector 
a[n]  reference , or

Equivalent to return *(a.begin() + n);.

No explicit requirement  std::basic_string, std::array, std::deque, std::vector 
a.at(n)  reference , or

Returns *(a.begin() + n), throws std::out_of_range if n >= size().  No explicit requirement  std::basic_string, std::array, std::deque, std::vector 
Notes  

Additionally, for every sequence container:
 A constructor template that takes two input iterators and the member function template overloads of
insert
,append
,assign
,replace
that take two input iterators do not participate in overload resolution if the corresponding template argument does not satisfy LegacyInputIterator.

(since C++17) 
[edit] Sequence containers in the standard library
stores and manipulates sequences of characters (class template)  
(C++11) 
static contiguous array (class template) 
dynamic contiguous array (class template)  
doubleended queue (class template)  
(C++11) 
singlylinked list (class template) 
doublylinked list (class template) 
[edit] Tradeoffs / usage notes
std::vector  Fast access but mostly inefficient insertions/deletions 
std::array  Fast access but fixed number of elements 
std::list std::forward_list 
Efficient insertion/deletion in the middle of the sequence 
std::deque  Efficient insertion/deletion at the beginning and at the end of the sequence 
[edit] Defect reports
The following behaviorchanging defect reports were applied retroactively to previously published C++ standards.
DR  Applied to  Behavior as published  Correct behavior 

LWG 139  C++98  the optional operations were not required to be implemented for the designated containers 
required with amortized time 
LWG 149  C++98  a.insert(p, t) returned iterator whilea.insert(p, n, t) and a.insert(p, n, t) returned void 
they all returniterator

LWG 151  C++98  q1 was required to be dereferenceable^{[1]}  it can be nondereferenceable 
LWG 355  C++98  calling a.back() or a.pop_back() would execute a.end(), which is dangerous^{[2]} 
decrements a copy of a.end() instead 
LWG 589  C++98  the elements that i and j refer to might not be convertible to value_type

they are implicitly convertible to value_type

LWG 3927  C++98  operator[] had no implicit requirement  added the implicit requirement 