isSemistandard -- checks if a Young tableau is semistandard

• Usage:

  isSemistandard T

• Inputs:
  • T, an instance of the type YoungTableau, a Young tableau.
• Outputs:
  • b, a Boolean value, returns true if the tableau is semistandard, and false otherwise.

i1 : T = youngTableau(new Partition from {5,3,2}, new Partition from {3,1}, {1,3,2,2,2,3})

                 ┌───┬───┐
o1 =             │ 1 │ 3 │
         ┌───┬───┼───┴───┘
         │ 2 │ 2 │        
     ┌───┼───┼───┘        
     │ 2 │ 3 │            
     └───┴───┘            

o1 : YoungTableau

i2 : isSemistandard T

o2 = true