all(BasicList,Function) -- whether all elements of a list satisfy a specified condition

Synopsis

• Function: all

• Usage:

  all(L,f)

• Inputs:
  • L, a basic list, or an integer. If an integer is given, then the sequence 0..L-1 is used.
  • f, a function, which returns true or false. If omitted, the identity function is used
• Outputs:
  • a Boolean value, true if f returns true when applied to every element of L and false otherwise

Description

i1 : all({1,2,3,4}, even)

o1 = false

i2 : all({2,4,6,8}, even)

o2 = true

i3 : all{true,true,true}

o3 = true

i4 : all{true,true,false}

o4 = false

i5 : all{}

o5 = true

i6 : all(7, x -> x < 10)

o6 = true

See also

• scan -- apply a function to each element in a list or sequence
• apply -- apply a function to each element
• select -- select from a list, hash table, or string
• any -- whether any elements satisfy a specified condition
• isMember -- test membership in a list or set