logo

Expression of type ExprTuple

from the theory of proveit.numbers.ordering

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import Conditional, ConditionalSet, ExprTuple, a, b
from proveit.numbers import greater, greater_eq
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(ConditionalSet(Conditional(b, greater_eq(b, a)), Conditional(a, greater(a, b))), b)
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\left\{\begin{array}{ccc}b \textrm{ if } b \geq a \\ a \textrm{ if } a > b\end{array}\right.., b\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 12
1Operationoperator: 2
operands: 3
2Literal
3ExprTuple4, 5
4Conditionalvalue: 12
condition: 6
5Conditionalvalue: 13
condition: 7
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operands: 11
8Literal
9ExprTuple13, 12
10Literal
11ExprTuple12, 13
12Variable
13Variable